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I.IBRAIIY 

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Itnumsitu  of  California* 


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Division 
Range 
Shelf 
Received 


e 


P 


REPORT 


UPON 


THE    DETERMINATION 


ASTRONOMICAL  CO-ORDINATES 


OF 


THE  PRIMARY  STATIONS  AT  CHEYENNE,  WYOMING  TERRITORY,  AND 
COLORADO  SPRINGS,  COLORADO  TERRITORY, 


MADE   DURING 


The   Years   1872   and   1873, 

GEOGRAPHICAL  AND  GEOLOGICAL  EXPLORATIONS  AND  SURVEYS  WEST  OF  THE 

ONE  HUNDREDTH  MERIDIAN. 


\]L . 


FIRST  LIEUTENANT  GEORGE  M.  WHEELER, 

CORPS  OP  ENGINKERS,  IN  CHARGE. 

Dr.  F.  KAMPF  and  J.  H.  CLARK, 

CIVILIAN   ASTRONOMICAL  ASSISTANTS. 


WASHINGTON: 

GOVERNMENT      PRINTING      OFFICE. 

1874. 


TABLE    OF    CONTENTS. 


Page. 

Order  of  sequence  for  an  astronomical  report 7 

Abbreviations  and  signs 8 

Cheyenne  station .11 

Description  of  observatory 12 

Description  of  instruments  used 13 

Connections,  (telegraphic) 13 

Tabulation  of  stars  used 14 

Instrumental  values 15 

Uniform  tables  of  time  reductions  at  sending  and  receiving  stations 16-27 

Correction  and  rate  of  chronometers 28 

Grouping  of  series  of  exchange  of  signals 29 

Personal  equation 3° 

Probable  error 30 

Resulting  longitude 3° 

Reduction  of  the  latitude  observations 31-44 

Mean  places  of  stars  used  for  determination  of  latitude 31 

Observations  for  latitude 32-38 

Computations  for  latitude 3Q-44 

Resulting  astronomical  co-ordinates 45 

Colorado  Springs  station,  Colorado  Territory 49 

Geographical  position  of  station 49 

Physical-geography  details 49 

Meteorological  conditions 50 

Description  of  observatory 50 

Description  of  instruments  used 51 

Points  of  connection 52 

Tabulation  of  stars  used  for  time 53 

Corrections  and  rates  of  chronometers 64 

Signals  for  determination  of  longitude  between  Salt  Lake  City  and  Colorado  Springs 65-67 

Final  results  for  longitude 68 

Mean  places  of  stars  for  1873  used  for  determination  of  latitude       .                              69 

Observations  for  latitude 70-73 

Computations  for  latitude •  74~?6 

Discussion  of  probable  error 77-?8 

Astronomical  co-ordinates 78 

Instructions  for  conducting  observations,  field-season  of  1873 


OFFICE  OF  THE  CHIEF  OF  ENGINEERS, 

Washington,  D.  C.,  February  13,  1874. 

SIR:  Lieut.  George  M.  Wheeler,  Corps  of  Engineers,  has  sent  to  this  office  a 
report  embodying  the  results  from  the  astronomical  observations  made  at  Cheyenne, 
Wyoming  Territory,  and  Colorado  Springs,  Colorado  Territory. 

As  this  report  contains  information  of  value  to  officers  engaged  upon  explorations, 
surveys,  and  reconnaissances  in  the  western  country,  I  have  respectfully  to  recommend 
that  it  be  printed  at  the  Government  Printing-Office,  and  that  five  hundred  copies  be 
furnished  on  requisition  from  this  office. 

Very  respectfully,  your  obedient  servant, 

A.  A.  HUMPHREYS, 
Brigadier- General  and  Chief  of  Engineers. 
Hon.  W.  W.  BELKNAP, 

Secretary  of  War. 

Approved  by  the  Secretary  of  War,  February  14,  1874. 

H.  T.  CROSBY,   Chief  Clerk 


UNITED  STATES  ENGINEER  OFFICE, 

GEOGRAPHICAL  AND  GEOLOGICAL  EXPLORATIONS  AND  SURVEYS 

WEST  OF  THE   IOOTH  MERIDIAN, 

Washington,  D.  C.,  February  g,  1874. 

SIR:  I  have  the  honor  to  forward  herewith  a  report  embodying  the  results  from 
the  astronomical  observations  made  at  Cheyenne,  Wyoming  Territory,  and  Colorado 
Springs,  Colorado  Territory.  They  are  typical  stations  for  the  years  1872  and  1873, 
although  not  selected  because  of  probable  errors  that  are  a  minimum. 

Attention  is  invited  to  the  methods  employed  and  the  order  of  sequence  in 
reporting  the  results. 

Uniformity  of  plan  seems  to  be  a  matter  of  so  great  importance  in  the  prosecu- 
tion of  astronomical  work  in  the  western  interior  that  the  one  now  in  use  is  submitted 
for  consideration  as  a  step  at  least  in  this  direction. 

Minor  features  of  the  methods  are  still  to  be  perfected ;  yet  the  errors  of  star- 
places,  from  observation,  and  those  known  as  instrumental,  have  now  become  reduced 
to  such  small  and  nearly  equable  values,  that  it  seems  desirable  that  some  general  and 
uniform  plan  should  be  adopted  for  the  report  at  least,  if  not  for  the  manner  of  con- 
ducting the  observations. 

The  present  one  is  submitted  with  extreme  diffidence,  and  will  probably  demand 
certain  changes  in  the  light  of  future  experience. 

At  Colorado  Springs  a  heavy  stone  monument  and  observing-pier,  with  meridian- 
marks,  have  been  established. 


The  same  has  been  done  at  the  greater  number  of  the  other  points  occupied  as 
main  field-stations  in  the  years  1871,  1872,  and  1873. 

These  meridian-lines  may  serve  various  purposes  in  checking  future  surveys  in 
adjacent  areas. 

Very  respectfully,  your  obedient  servant, 

GEO.  M.  WHEELER, 
Lieutenant  of  Engineers,  in  Charge. 
Brig.  Gen.  A.  A.  HUMPHREYS, 

Chief  of  Engineers,  United  States  Army. 


NOTE. — The  results  from  the  observations  made  during  the  field-seasons  of  1871, 
1872,  and  1873,  at  the  remaining  primary  stations,  twenty-two  in  number,  will  appear 
in  Volume  II  of  the  Reports  of  the  Survey,  as  proposed  in  the  Annual  Report  of  the 
Chief  of  Engineers  for  1878,  Appendix  EE. 


ORDER     OF     SEQUENCE 


FOR    AN 


ASTRONOMICAL      REPORT 

AT 

MAIN  OR  PRIMARY   FIELD-STATIONS. 


Longitude  by  Telegraph;  Latitude  by  Zenith  Telescope,  (Talcotfs  method.) 

1.  Geographical  position  of  station. 

2.  Physical-geography  details;  especially  all  physical  peculiarities. 

3.  Meteorological  conditions,  both  general  and  special;  the  latter  while  observa- 
tions were  made. 

4.  Description  of  observatory;  including  personnel  of  party,  name  of  telegraph- 
operator,  and  name  of  telegraph-company  whose  wire  has  been  employed. 

5.  Description  of  instruments  used. 

6.  Points  with  which  connections  were  made;  nights  of  observation,  and  observ- 
ers; also  name  of  computer  or  computers. 

7.  Tabulation  of  stars  used,  and  number  of  observations. 

8.  .Instrumental  values;  circumstances  of  telegraphic  communication,  i.  e.,  length 
of  circuit,  number  of  batteries,  repeaters,  &c. 

9.  Uniform  tables  of  time-reductions  at  receiving-station. 
10.  Uniform  tables  of  time-reductions  at  sending-station. 

n.  Grouping  of  series  of  exchange-signals,  including  means  of  single  and  serial 
results. 

1 2.  Personal  equation. 

13.  Probable  error  by  least  squares. 

14.  Resulting  longitude. 

15.  Reduction  of  the  latitude-observations  properly  grouped,  with  discussion  of 
results. 

1 6.  Resulting  astronomical  co-ordinates. 


ABBREVIATIONS     AND     SIGNS. 


a,  b,  c,  —  azimuth,  level,  and  collimation  corrections. 
A,  B,  C,  =  azimuth,  level,  and  collimation  factors. 

T  zz  observed  time  reduced  to  the  mean  of  wires  and  corrected  for  rate. 
T"  zz  observed  time  corrected  for  instrumental  errors. 
AR.  zz  apparent  right  ascension  of  star. 

^/o  T  zz  resulting  error  of  the  chronometer  after  the  mean  of  the  wires  is  cor- 
rected for  rate  and  level. 
-<4  T0  zz  adopted  mean  error  of  chronometer. 
dT  =  JT0—  J0T. 
^  T  zz  error  of  the  chronometer. 

v  zz  difference  between  mean  final  correction  of  chronometer  and  J  T. 


REPORT 


ON 


ASTEONOMICAL    OPEKATIONS, 


CONDUCTED   DUKING 


THE  FIELD-SEASON  OF  1872, 


AT  THE 


MAIN  OR  PRIMARY  FIELD-STATION,  CHEYENNE,  WYOMING  TERRITORY, 


DEDUCTION    OF    RESULTS. 


BY 


DR.    F.    KAMPF    AND    J.    H.    CLARK, 

CIVILIAN  ASTRONOMICAL  ASSISTANTS, 


UNITED  STATES  ENGINEER  OFFICE, 
GEOGRAPHICAL  AND  GEOLOGICAL  EXPLORATIONS 

AND  SURVEYS  WEST  OF  THE  IOOTH  MERIDIAN, 

Washington,  D.  (7.,  January  i,  1874. 

CHEYENNE,  WYOMING  TERRITORY. 

(i.)  GEOGRAPHICAL  POSITION  OF  STATION. 

The  station  at  Cheyenne,  the  latitude  of  which  is  N.  41°  T  46". 62,  and  its  longi- 
tude 28'"  i9844  east  of  the  Mormon  observatory  at  Salt  Lake,  is  situated  in  the  western 
part  of  the  town,  in  lot  1 1,  block  413,  and  is  northwest  from  the  junction  of  the  branch- 
road  leading  to  the  depot  of  Fort  D.  A.  Russell  with  the  main  stem  of  the  Union 
Pacific  Railroad. 

The  town  of  Cheyenne,  on  the  north  side  of  the  railroad,  is  the  capital  of  Wyoming 
Territory;  and  besides  the  Union  Pacific  Railroad  with  its  branch  to  Fort  Russell,  has 
a  railroad- connection  with  Denver,  Colorado.  These  facilities  make  it  a  flourishing 
place,  and  it  possesses  already,  in  addition  to  its  public  buildings,  quite  a  number  of 
substantial  business-houses  and  attractive  private  residences. 

A  fine  hotel,  engine-houses,  workshops,  and  other  similar  improvements,  are 
among  the  sources  of  prosperity  which  spring  directly  from  the  railroad-company. 

Besides  the  traffic  with  Fort  Russell,  it  is  the  depot  for  Red  Cloud's  agency,  Fort 
Laramie,  and  the  settlements  on  the  North  Platte, 

The  surrounding  region  affords  unlimited  pasturage,  and  cattle  are  said  not  only 
to  subsist  but  grow  fat  on  it  during  the  whole  year. 

Agriculturally  there  is  but  little  promise  outside  of  what  may  be  accomplished  by 
irrigation. 

(2.)  PHYSICAL-GEOGRAPHY  DETAILS. 

The  site  of  Cheyenne  is  nearly  or  quite  level;  northward,  however,  there  is  .a 
gradual  swell  of  the  land,  and  within  a  few  miles  it  cuts  off  the  extensive  view  one  is 
accustomed  to  on  the  great  plains.  Eastward  and  southward  there  is  the  usual  rolling 
and  slightly-broken  prairie;  but  in  the  southwest,  Long's  Peak,  already  white  this 
September  with  snow,  some  seventy  miles  distant,  looms  up  boldly  above  the  horizon. 
West  and  northwest,  low  mountains,  many  of  which  mark  the  rim  of  the  Laramie 
Plains,  are  just  visible.  Crow  Creek,  a  moderate  stream  coming  down  from  the  foot- 
hills of  this  rim,  forms  a  valley  immediately  west  and  south  of  the  town,  working  its 
way  apparently  through  mountain-drift,  as  the  direct  eruptive  force  of  the  Rocky 
Mountain  system  seems  not  to  have  reached  so  far  east  in  this  latitude. 

(3.)  METEOROLOGICAL  CONDITIONS. 

The  determination  of  this  station  occupied  the  first  three  weeks  in  the  month  of 
October,  1872.  There  were  no  rains,  nor  any  clouds,  and,  with  the  exception  of  two 
or  three  windy  nights,  the  elements  presented  no  obstacle  whatever  to  a  continued 
series  of  observations.  In  the  early  morning  it  would  become  cold  enough  to  form 


12 


ice,  making  it  sufficiently  uncomfortable  to  restrain  the  ardor  of  an  observer  from 
extending  his  observations  into  the  small  hours  of  the  night.  From  the  experience  of 
this  season,  and  that  of  many  others  which  I  have  undergone  in  former  years  in 
astronomical  work,  both  on  the  plains  and  in  the  mountains,  I  am  of  the  opinion  that 
the  best  time  of  the  year  (so  far  as  the  weather  is  concerned)  for  astronomical  observa- 
tions in  the  Territories  and  the  far  Western  States  occurs  in  September  and  October. 
They  are  the  months  that  fall  between  the  rainy  season  of  the  summer  and  the  stormy 
weather  of  the  winter. 

The  following  table  shows  the  direction  of  the  wind,  and  the  estimated  force,  from 
7  a.  m.  to  7  p.  m.  and  from  7  p.  m.  to  7  a.  m.  The  weather  was  clear  all  the  time. 
Such  an  atmosphere,  at  an  elevation  of  6,000  feet,  could  not  be  otherwise  than  favor- 
able for  astronomical  work. 


Date. 

General  direction  of  wind. 

Estimated  force  of  wind. 

Remarks. 

7  a.  m.  to  7  p.  m. 

7  p.  m.  to  7  a.  m. 

7  a.  m.  to  7  p.  m. 

7  p.  m.  to  7  a.  m. 

1872. 

October  5 

NW. 

N. 

I 

i 

6 

sw. 

o 

I 

0 

7 

NW. 

o 

I 

o 

8 

NE. 

o 

I 

0 

9 

SE. 

o 

i 

o 

10 

SE. 

0 

i 

o 

ii 

N. 

o 

i 

o 

12 

N. 

o 

i 

0 

13 

o 

o 

o 

o 

14 

NW. 

NW. 

i 

I 

Aurora  borealis  in  the  north 

15 

NW. 

o 

2 

0 

at  11.30  p.  m. 

16 

NW. 

o 

I 

o 

17 

SW. 

o 

I 

o 

Aurora  borealis  in  the  north 

18 

o 

o 

O 

0 

at  9  p.  m. 

19 

W. 

o 

I 

o 

20 

W. 

N. 

I 

2 

(4.)  DESCRIPTION  OF  OBSERVATORY. 

A  large  wall-tent  drawn  over  a  framework  formed  the  observatory.  The  open- 
ing for  the  meridian-line  was  furnished  with  a  flap  and  curtains ;  the  former  served  to 
protect  the  instrument  from  the  weather  when  not  in  use,  and  the  latter  to  keep  off  the 
wind  and  dust  while  observing.  Here,  and  at  other  stations  previously  occupied,  the 
opening  for  the  meridian-line  in  the  observatory  was  entirely  unobstructed.  Subse- 
quently it  was  found  to  be  an  improvement  to  retain  the  ridge-pole  (which  commonly 
interferes  but  little  with  the  completeness  of  the  observations)  as  a  support  against  the 
violent  winds  so  prevalent  in  the  country  in  which  our  operations  are  conducted.  The 
tent  was  furnished  with  all  the  appliances  of  a  field  and  temporary  observatory,  such 
as  stools,  stands,  tables,  and  the  like,  and  nothing  was  wanting  as  to  equipment  for  first- 
class  field-work.  The  Western  Union  Telegraph  Company  furnished  the  line  and 
other  facilities  for  this  station.  Mr.  Bates,  one  of  the  operators  employed  at  the 
Cheyenne  office,  was  assigned  to  do  the  telegraphing;  and  when  business  did  not  per- 


13 

mit  him  to  leave,  which  sometimes  happened,  Mr.  Henderson,  who  was  off  duty  at  this 
hour,  was  obliging  enough  to  supply  his  place  gratuitously.  Mr.  F.  R.  Simonton  was 
my  assistant  here,  and  kept,  in  conjunction  with  C.  Herbert,  an  hourly  meteorological 
record,  besides  his  other  duties  as  assistant. 

(5.)  DESCRIPTION  OF  INSTRUMENTS  USED. 
(a.)  Transit. 

The  transit  used  was  the  meridian-zenith-instrument  No.  28,  made  by  Wiirde- 
mann,  a  description  of  which  is  given  in  Dr.  Kampf's  report,  and  it  was  mounted  on  a 
large  block  of  wood.  The  instrumental  values  are,  for  one  division  of  the  micrometer- 
screw,  o". 621 6;  of  the  striding-level  A,  i".2i;  and  of  the  zenith-level,  i".io. 

(I.}  Chronograph. 

The  record  of  the  observations  for  time,  as  well  as  the  exchange  of  signals,  with 
one  exception  (the  night  of  the  Hth),  was  made  by  means  of  the  chronograph,  of  the 
form  contrived  by  Professor  Harkness,  United  States  Naval  Observatory.  It  consists 
of  clock- woi'k  driven  by  a  weight,  and  can  be  adjusted  to  run  some  two  hours.  The 
regulation  of  the  movement  is  effected  by  a  steel  spring,  with  movable  balances,  strik- 
ing on  a  fly-wheel.  A  cylinder  is  attached,  covered  with  paper,  and  is  made  to  revolve 
once  a  minute.  Along  this  cylinder  a  screw  carries  a  pen,  which,  being  in  the  same 
circuit  with  the  chronometer,  records  its  breaks.  The  chronometric  breaks  are  made 
every  second,  except  the  sixtieth,  which  is  omitted,  to  mark  the  minute.  Removing  the 
paper  from  the  cylinder,  both  the  minutes  and  the  seconds  will  be  found,  if  the  instru- 
ment is  working  properly,  recorded  in  parallel  lines,  and  the  culminations  of  the  stars 
observed,  distinctly  marked  by  arbitrary  breaks,  and  easily  read  off. 

(c.)  Chronometer. 

The  chronometer  in  use  here  was  the  Negus  break-circuit  No.  1499.  It  had  a 
gaining-rate,  +0.054,  hourly  average,  at  a  mean  temperature  of  50°.  The  break- 
arrangement  got  out  of  order  once,  but  it  was  readily  repaired,  and  ran  the  rest  of  the 
season  without  giving  any  trouble. 

(<i)  Battery. 

A  local  circuit  of  sufficient  force  was  produced  by  two  cups  of  zinc  and  copper, 
a  form  known,  I  believe,  among  electricians  as  the  Hill  battery.  It  is  simple,  works  a 
week  or  more  without  renewal,  and  the  only  possible  objection  to  it  for  the  purpose  to 
which  we  apply  it  is  that  the  sulphate  is  a  little  slow  to  act,  particularly  in  cold 
weather. 

(6.)  CONNECTIONS. 

The  observatory  was  west  of  the  telegraph-office,  and  the  main  connection  was 
effected  by  a  loop  into  one  of  the  main  overland  wires  and  put  in  communication  with 
Salt  Lake  by  a  switch  at  Ogden.  The  local  connections,  including  the  chronometer, 
the  chronograph,  and  the  observing-keys,  were  made  by  means  of  a  switch-board, 
which  also  received  the  main  circuit.  The  various  wires  being  put  in  their  proper 


14 

posts  on  this  board,  and  the  circuit  closed,  it  required  only  the  simple  movement  of 
sliding  a  switch-button  to  cut  off  or  put  on  either  circuit,  and  thus  send  the  chrono- 
metric  break,  or  receive  that  of  the  connected  station  on  the  chronographic  sheet,  as 
desired.  The  nights  of  the  ist,  3d,  8th,  gth,  loth,  nth,  and  12th  were  occupied  on 
latitude,  in  which  time  257  results  were  obtained.  The  5th,  i4th,  i6th,  i8th,  igth,  and 
2 1  st  were  successively  put  in  on  longitude.  There  were  several  other  evenings  when 
efforts  were  made  in  this  direction,  but  failed  from  causes  beyond  my  control.  Mr. 
Austin  did  the  observing  at  Salt  Lake,  while  the  observations  at  Cheyenne  were  made 
by  myself,  and  also  the  longitude  reductions  for  both  stations.  Prof.  W.  A.  Rogers, 
of  Harvard  College  Observatory,  computed  the  latitude-observations,  and  they  were 
subsequently  revised,  partially  recomputed,  and  formulated  by  Dr.  Kampf. 

(7.)  TABULATION  OF  STARS  USED. 

Tabulation  of  Stars  Used  for  Determination  of  Time  at  Cheyenne,  Wyoming  Territory,  aitd 

Salt  Lake  City,  Utah  Territory. 


Name  of  Star. 


T    Aquilze 

ii     Aquilie      ..... 
aa  Capricorni     . 
K     Cephet      ..... 
T    Capricorn!     ,     .     .     . 
c     Delphrn? 

Groombridge  3241    . 
a     Cygni  .,,... 

ft     Aquarii 

v     Cygni  ...... 

1 2- Year  Catalogue  187.9 
as   Ursse  Majoris,  L,  C' 

61  Cygni 

f     Cygni 

a    Cephei  , 

I     Pegasi      . 

I     Draconis,  L.  C,   . 

/}    Aquarii 

/?   Cephei 

.-     Aquarii 

£     Pegasi 

ii  Cephei 

p    Capricorn!     .     .      .     . 

79  Draconis 

a    Aquarii 

32  Ursae  Majoris,  L.  C. 

0    Aquarii 

T    Aquarii 

9     Draconis,  L.  C.   . 


Mean  Right 
Ascension,-iS72.o. 


h. 

19 
20 


m. 

57 

4 

10 

13 
19 

27 
30 
37 
45 
52 
53 
59 
I 

7 
15 
16 
18 
24 
26 
3° 
37 
40 
46 
51 
59 

8 

10 
18 
24 


s. 
53-20 

41.98 
57-04 

9-32 
59-54 

5-82' 
32.52 

4.10 
44.86 
24.08 
19.06 

5-92 

9.67 

29-33 
31-39 
10.09 

38.59 
49.16 
59.96 
56.16 

53-98 

2.36 

18.94 

16.44 

12.53 

42.70 

4.68 

44-37 
9.11 


Declination. 


+     6 

—  I 

—  12 

+  77 

-  18 
+  10 
+  72 
+  44 

-  9 
+  40 
+  80 
+  67 
+  3» 
+  29 
+  62 

+   '9 

+   81 

-  6 
+  69 

-  8 

+  9 
+  70 
-  M 
+  73 

—  o 
+  65 

-  .8 
+     o 
+   76 


55-1 

12.0 
56.4 
19.5 

37-7 
52.2 

5-9 
49-4 

27.7 
40.5 

4-2 
39-1 

7-3 
42.. 

2.6 
15-5 
53-3 

8.0 

59-9 
25.6 
17.4 

43-3 
9.2 
5-8 

56.4 

44-7 
25.2 

43-7 
22.3 


October — 


5.     14.     16.     18.     19.    21. 


October — 


5.      14.     16.     18.     19.    21 


15 


Tabulation  of  Stars  used  for  Determination  of  Time,  &c. — Continued. 


Name  of  Star. 


?/  Aquarii     .... 
226  Cephci       .... 

C  Pegasi       .... 

v  Cephci       .... 

/I  Aquarii     .... 

a  Piscis  Australis  . 

a  Pegasi       .... 

o  Cephci      .... 

6  Piscium    .... 

/I  Draconis,  L.C.    . 

t  Piscium    .... 

y  Cephei      .... 
Groombridge  4163   . 

u  Piscium    .... 

a  Andromedse  . 

4  Draconis,  L.C.    . 

y  Pegasi       .... 

a  Cassiopeix     . 

(3  Ceti 

21  Cassiopeiae    . 

32  Camelopardalis,  L.  C. 

c  Piscium     .... 

6'  Ceti 

38  Cassiopeiae 

jj  Piscium    .... 

o  Piscium    .... 


Mean  Right 
Ascension,  1872.0. 


h.     m. 
22     28 

30 
35 
45 
45 
50 
5* 
13 
21 

23 
33 
34 

48 

52 

0  i 
6 
6 

33 
37 
37 
48 
56 

1  17 
21 

24 
38 


S. 
46.69 

i.og 

4-65 

7.64 
56.08 
34-39 
23.15 
22.74 
28.50 
46.64 
22.07 

6.60 
•37-77 
44-30 
46.47 
10.66 
33.78 
15.41 

9-77 
14-03 
12.72 
18.10 
37-54 
44-35 
38.13 
38.23 


Declination. 


—  o 

+  75 

+  10 

+  65 

-  8 

-  30 
+  14 
+  67 
+  5 
+  70 
+  4 
+  76 
-4-  73 
+  6 
+  28 
+  78 
+  M 
+  55 

-  18 
+  74 
+  84 
+  7 

-  & 
+  69 
+  '4 


46.6 
34-0 
9.8 
3L6 
15.6 
18.0 
31.0 

24.7 

40.6 

2.2 

56.0 

55-t 
41.9 

9-3 
23.0 
19.6 
28.3 
50.1 
41.4 
17.2 

6-5 

12. 0 

50.7 
36.3 
4I.I 
30.8 


October — 


5.     14.     16.     18.    19.    21 


October — 


5.     14.    16.    18.     19.    21 


(8.)  INSTRUMENTAL  VALUES. 

The  values  of  the  implements  pertaining  to  zenith-instrument  No.  28  are,  for  one 
division  of  the  micrometer-screw,  o".622;  of  the  striding-level  A,  i".2i;  and  of  the 
zenith-level,  i".  10.  The  wire  which  made  the  circuit  between  the  stations  Salt  Lake 
and  Cheyenne,  counting  the  distance  along  the  railroad,  is  some  550  miles,  and  does 
not  include  any  battery  or  repeating-office.  At  Cheyenne  there  was  a  repeating-office ; 
but  as  the  observatory,  as  elsewhere  stated,  was  situated  west  of  it,  the  signals  did  not 
work  through  any  repeater;  and  at  the  time  these  observations  were  made  Salt  Lake 
itself  was  only  a  relay-office ;  but  there  was  a  switch  at  Ogden,  which  had  always  to  be 
called  to  "straighten"  the  wire  before  the  work  of  exchanging  could  be  commenced. 
Powerful  batteries  have  always  been  kept  at  both  places,  and  lately  the  repeating-office 
at  Corinne  has  been  removed  to  Salt  Lake,  and  the  latter  has  not  only  become  a  re- 
peating-office but  also  the  headquarters  of  the  western  division  of  the  main  or  eastern 
branch  of  the  company. 


16 
(9-)  UNIFORM  TABLES  OF  TIME-REDUCTIONS  AT  RECEIVING-STATION. 

SALT    LAKE    OBSERVATORY,  October  5,  1872. 


Name  of  Star. 

Clamp. 

T 

<5B 

aA. 

cC 

T' 

AR. 

AT 

h.    m.    s. 

s. 

s. 

S. 

h.    m.     s. 

h.  m.      s. 

m.     s. 

r     Aquilae 

W. 

20    o     5.28 

-  0.04 

—  o.  10 

—  0.07 

20    o     5.07 

19  57  54.80 

—    2    10.27 

ic     Cephei  .... 

• 

15  19-82 

—  0.62 

+  0.49 

—  0.31 

15  19-38 

20  13     9.66 

[9.72] 

tf    Capricorn!  . 

. 

22    12.  2O 

—  0.13 

—  0.16 

—  0.07 

22    11.84 

20      1.58 

10.26 

£     Delphini 

2Q    18.22 

—    O.20 

—  0.09 

—  0.07 

29    17.86 

27     7-54 

10.32 

a     Cygni    .... 

E. 

39  16.20 

—  0.18 

—    O.02 

—  0.09 

39  15-91 

37     5-57 

10-34 

"     Aquarii 

47  57.56 

—    O.I2 

—    0.14 

+  0.07 

47  57-37 

45  46-89 

10.48 

12-  Year  Cat.  1879. 

. 

55  3I.I4 

—    1.03 

+  0.66 

+  0.40 

55  31-17 

53  20.37 

10.80 

61   Cygni    .... 

. 

21      3   22.20 

-  0.35 

—    O.OI 

+  0.07 

21     3  21.91 

21       I    11.63 

10.28 

f     Cygni    .... 

9  41.76 

-  0.31 

-  0.04 

+    O.II 

9  41.52 

7  31.1° 

10.42 

Mean,  exclusive  of  K  Cephei,  at  2Oh  30™  local  sidereal  time     

—    2    IO    TO 

•   iv-jy 

Normal  Equations. 

9<J/  —     3-24«+    O.l8f=  —  2.22                       rt=-O.l8 

—  3.24  fit  +  22.  91  a  —  io.2<)c  —  —  3.72                 c  =  +  0.07 

o.  1  8  St—  10.29  "  +  63.461:=  +  0.60                <!/=  —  0.31 

SALT    LAKE    OBSERVATORY,  October  5,   1872. 

Name  of  Star. 

Clamp. 

T 

<5B 

<rA 

cC 

T' 

AR. 

AT 

h.   m.     s. 

s. 

s. 

s. 

h.   m.     s. 

h.    m.     s. 

m.     s. 

o     Cephei  .... 

E. 

23  15  37.08 

-  0.44 

+  0.31 

-  0.35 

23  15  36.60 

23  13  26.08 

—    2    10.52 

8    Piscium 

23  41.72 

-  0.17 

-  0.15 

-  0.17 

23  41.23 

21  30.96 

10.27 

(     Piscium 

\V. 

35  35-20 

—  0.36 

—  0.16 

+  0.17 

35  34-85 

33  24-59 

10.26 

Groombridge  4163 

. 

50  52.16 

—  0.60 

+  0.52 

4-  0.61 

50  52.69 

48  42.32 

10-37 

u    Piscium 

. 

54  57-66 

—  0.19 

-  0.15 

-f  0.17 

54  57-49 

52  46.90 

10.59 

o    Andromedae    . 

. 

24     3  59-66 

—  0.19 

—  0.06 

4-  0.19 

24     3  59.60 

24     I  49.06 

10.54 

7     Pegasi  .... 

8  52.00 

—  0.16 

—    O.I2 

+  0.18 

8  51.90 

6  41-33 

10.57 

—    2     lO.dl 

—       A  *J  1  4-f 

Normal  Equations. 

Tit  —  0.650—    4.i3c=  —  2.06                 0^—0.27 

—  o.65<S/  +  6.35a+    2.54<:=  —  1.96                  <:=—  0.17 

—  4.  13  <V+  2.54  0  +  24.83  c—  —  3.17                 6t  =  —  0.43 

17 
UNIFORM  TABLES  OF  TIME-REDUCTIONS  AT  RECEIVING-STATION — Continued. 

SALT    LAKE    OBSERVATORY,   October  14,   1872. 


Name  of  Star. 

Clamp. 

T 

*B 

aA. 

cC 

T' 

AR. 

AT 

h.   m.     s. 

s. 

s. 

s. 

h.   m.     s. 

h.   m.     s. 

m.     s. 

r     Aquilx. 

E. 

20    o  17.86 

—  0.08 

—  0.14 

—    O.IO 

20     0   17.54 

19  57  54.66 

-    2   22.88 

8     Aquilsc  .... 

7     6.86 

—  0.06 

-  0.17 

-    O.IO 

7     6-53 

20    4  43.55 

22.98 

K    Cephei  .... 

15  31.66 

—  0.25 

+  0.68 

-  0.46 

15  31-63 

13     8.71 

22.92 

TT    Capricorn!. 

22  24.56 

—  0.03 

—  0.23 

—    O.II 

22    24.19 

20     I  .  44 

22.75 

e     Delphini 

29  30.56 

—  0.05 

-  0.13 

—    O.IO 

29    3O.28 

27     7.40 

22.88 

Groombridge  3241 

32  55-78 

—  0.16 

+  0.42 

-  0.33 

32    55-71 

30  32.87 

22.84 

a     Cygni    .... 

W. 

39  28.28 

—  0.09 

+    0.02 

+  0.14 

39  28.35 

37     5-34 

23.00 

fi     Aquarii 

. 

48     9.96 

—  0.04 

—    0.2o 

+    O.IO 

48     9.82 

45  46.76 

23.06 

12-Year  Cat.  1879. 

. 

55  40.70 

-  0.13 

+    0.92 

+  0.58 

55  42.07 

53  I9-25 

22.82 

61  Cygni    .... 

21     3  34-30 

-t-    O.OI 

—   O.O2 

+  0.13 

21     3  34-42 

21       I    11.45 

22.97 

C     Cygni     .... 

. 

9  54.05 

—  0.03 

—    O.O6 

+    O.I2 

9  54-oS 

7  30.95 

23.13 

—    2    22.93 

Normal  Equations. 

IK!/—    4.46(1+    i.25<r=  +  l.73                  a  —  —  0.250 

—  4.46^  +  26.19^  +    5.211::=  —  7.89                  c  =  —  0.096 

i.25<!/  +    5.2in  +  75.02c=  -  8.35                &t  =  +0.070 

SALT    LAKE    OBSERVATORY,   October  14,   1872. 

Name  of  Star. 

Clamp. 

T 

6B 

aA 

cC 

T' 

AR. 

AT 

h.   m.     s. 

s. 

s. 

s. 

h.   m.     s. 

h.   m.     s. 

m.     s. 

8    Aquarii. 

W. 

22  12  30.22 

—  0.05 

-  0.07 

+    O.OI 

22  12  30.11 

22  10    6.97 

-  2  23.14 

5r    Aquarii. 

. 

21       9.88 

—  0.04 

—  0.06 

+    O.OI 

21       9.79 

18  46.61 

23-18 

9     Draconis,  L.  C.    . 

26  32.45 

+  0.04 

-  0.34 

—  0.04 

26  32.11 

24     9.00 

23.11 

f     Pegasi  .... 

37  30.27 

—  0.05 

—  0.05 

+    O.OI 

37  30.18 

35     6.88 

23.30 

o     Cephei  .... 

E. 

23  15  49.05 

—  0.23 

+    O.II 

—  0.03 

23  15  48.90 

23  13  25.87 

23.03 

8     Piscium 

. 

23  54-24 

—  0.08 

—  0.05 

—    O.OI 

23  54-10 

21    30.92 

23.18 

(      Piscium 

• 

35  57.97 

—  0.08 

—  0.05 

—    O.OI 

35  57.83 

33  34-57 

23.26 

Mean  at  23b  local  sidereal  time  

—    2   23.17 

Normal  Equations. 

7  it  +    5.680—    5.79*-=  —  1.78                  «  =  —  0.09 

5.  68  St  +17.  39  a  —  Il.g8<r=  —  2.72                  c  =  +0.01 

—  5.791!;—  1  1.98  a  +  29.56  c—  +  1.70                 St=  —  O.I  8 

18 


(9.)  UNIFORM  TABLES  OF  TIME-REDUCTIONS  AT  RECEIVING-STATION — Continued. 

SALT  LAKE  OBSERVATORY,  October  16,  1872. 


Name  of  Star. 

Clamp. 

T 

t>B 

«A 

cC 

T' 

AR. 

AT 

h.   m.      s. 

s. 

s. 

s. 

h.    m.      s. 

h.    m.      s. 

m.     s. 

v    Capricorni       .     . 

W. 

20  22  27.72 

—  0.04 

+  0.16 

•     • 

20    22    27.84 

20  20     1.41 

—    2    26.43 

e     Delphini     . 

. 

29  33.61 

—  0.09 

+  0.09 

29  33.61 

27     7-37 

26.24 

Groombridge  3241 

. 

32  59-45 

—  0.28 

—  0.30 

. 

32  58.87 

30  32.72 

26.15 

a    Cygni    .... 

. 

39  31-84 

—  0.25 

—    O.O2 

. 

39  31-57 

37     5-29 

26.28 

"      A  q  n.  mi. 

. 

48  13.16 

-  0.13 

+    0.14 

48  13-17 

45  46-74 

26.43 

12-Year  Cat.,  1879 

E. 

55  47-17 

-  0.99 

-  0.66 

. 

55  45-52 

53   18.99 

26.53 

61  Cygni    .... 

21     3  37.78 

—  0.09 

+    O.OI 

. 

21     3  37.70 

21       I    11.41 

26.29 

C     Cygni    .... 

. 

9  57-05 

—  o.oS 

-t-  0.04 

.     . 

9  57-01 

7  30.92 

26.O6 

a    Cephei  .... 

. 

17  59-12 

+    O.O2 

-  0.14 

. 

17  59-oo 

15  32.72 

26.28 

/}    Aquarii. 

. 

27  17.73 

-+-    0.01 

+  0.13 

. 

27  17-87 

24  51.19 

26.68 

ft    Cephei  .... 

. 

29  27.95 

+  0.03 

—  0.26 

29  27.72 

27     i-34 

26.38 

f    Aquarii. 

. 

33  24.70 

+   O.OI 

+  0.13 

. 

33  24.84 

30  58.26 

26.58 

c     Pegasi  .... 

• 

40  22.32 

+    O.OI 

+  0.09 

•     • 

40  22.42 

37  55  92 

26.50 

—    2   26   T7 

*   •**  •  j  1 

Normal  Equations. 

13^+   3-i5«  +    3-05--  —  —  5-43                       a=  —  0.18 

3.  15<5/  +  20.33*1  +  21.20*-=  —4.81                       <r  =      o.oo 

3.05^+  21.  20  a  +-  68.43  c  =  —  4-S3                     <!/=  —  0.37 

SALT  LAKE  OBSERVATORY,  October  16,  1872. 

Name  of  Star. 

Clamp. 

T 

fB 

«A 

<rC 

T 

AR. 

AT 

h.   m.      s. 

s. 

s. 

s. 

h.   m.      s. 

h.    m.      s. 

m.      s. 

y    Cephei  .... 

W. 

23  36  37-9° 

+  0.50 

-  0.39 

+    O.22 

23  36  38.23 

23  34  11.24 

—   2  26.99 

Groombridge  4163 

. 

51     7-68 

+  0.45 

—  0.29 

+  0.18 

51     8.02 

48  42.09 

25-93 

u    Piscium 

54  13.17 

-1-    0.12 

+  0.09 

+  0.05 

54  13-43 

52  46.89 

26.54 

a     Andromeda:     . 

. 

24    4  15.36 

+  0.18 

+  0.04 

+  0.06 

24    4  15.64 

24     I  49.05 

26.59 

•y     Pegasi  .... 

. 

9     7.67 

+  0.18    +  0.07 

+  0.05 

9     7-97 

6  41-33 

26.64 

-    2    26.54 

Normal  Equations. 

5<1/  +    3.263=—  3.17                      a=—  0.15 

3.26d/+  n.o7«  =  —  3.36                    St=.—  0.54 

19 
(9.)  UNIFORM  TABLES  OF  TIME-REDUCTIONS  AT  RECEIVING-STATION — Continued. 

SALT  LAKE  OBSERVATORY,  October  18,  1872. 


Name  of  Star. 

Clamp. 

T 

b'B 

aA. 

cC 

T' 

AR. 

AT 

h,   m.      s. 

s. 

s. 

S. 

h.    m.      s. 

h.   m.      s. 

m.     s. 

Groombridgc  3241 

W. 

20  33     3.31 

-  0.31 

+  0.08 

-  0.39 

20  33     2.69 

20  30  32.58 

—  2  30.11 

a.     Cygni    .... 

39  35-44 

-  0.15 

-r    O.OI 

-  0.17 

39  35-13 

37     5-23 

29.90 

fi     Aquarii. 

. 

48  17.04 

—  0.06 

-    O.O4 

—   O.I2 

48  16.82 

45  46.70 

30.12 

12-Year  Cat.,  1879 

55  49-47 

—  0.36 

+  o.iS 

—   0.69 

55  48.60 

53  18.73 

29.87 

61   Cygni    .... 

21     3  41.48 

—  0.09 

o.oo 

-   0.15 

21     3  41.24 

21      I    11-37 

29.87 

C     Cygni    .... 

E. 

10    0.63 

—  0.08 

—    O.OI 

+  o.  14 

10    0.68 

7  30.88 

29.80 

<i    Cephei  .... 

IS     2.16 

—  0.07 

+  0.04 

+    0.25 

18     2.38 

*5  32-64 

29-74 

ft    Aquarii. 

27  20.95 

—  0.03 

—  0.04 

+    0.12 

27   21.  OO 

24  5I-I7 

29.83 

f    Aquarii. 

33  28.01 

T   o.oo 

—  0.04 

+    O.I2 

33  28.09 

30  58-24 

29.85 

e     Pegasi   .... 

40  25.72 

T  o.oo 

—  0.03 

+    O.I2 

40  25.81 

37  55-9° 

29.91 

Mean  at  2ih  local  sidereal  time       

—    2   2Q  .  OO 

V    y 

Normal  liquations. 

ioSt+   3.140—   6.43^-  =  +  0.48                      ^=+0.05 

3.  14  <5/  +  18.99  a  —  26.7l<r=  —  1.81                          <r=  +0.12 

—  6.43  St  —  26.713+  59.95  c  —  +  5.86                        St  =  +  O.II 

SALT  LAK'E  OBSERVATORY,  October  18,  1872. 

Name  of  Star. 

Clamp. 

T 

i~B 

aA 

cC 

T' 

AR. 

AT 

h.   m.     s. 

s. 

s. 

s. 

h.   m.      s. 

h.   m.      s. 

m.     s. 

0     Aquarii.      .      .      . 

E. 

23  10  13.91 

—  0.07 

—  0.32 

+    O.OI 

23  10  13.53 

23     7  44.11 

—    2   29.42 

a     Cephei  .... 

• 

15  54-99 

-  0.14 

+  0.50 

+  0.03 

15  55.38 

13  25-76 

29.62 

8    Piscium      ... 

24     0.92 

+    0.01 

-  0.24 

+    O.OI 

24    o.  70 

21    30.90 

29.80 

(      Piscium 

W. 

35   54-53 

—  0.04 

—  0.25 

—   O.OI 

35  54-23 

33  24.56 

29.67 

y    Cephei  .... 

36  39-85 

—  0.18 

+    1.  12 

—  0.65 

36  40.74 

34  ".14 

29.60 

Mean  at  24''  local  sidereal  time      

—    2   29.62 

Normal  Equations* 

5  St—  1.853—    o.78<r=  +  2.6g                         a  =—0.43 

—  1.85^  +  9.36(1+    9.19^=—  4.66                         c=  +0.013 

—  0.78*  +  9.  19  a  +  29.27  c  =  —  3.93                       fit      +0.38 

20 
(9.)  UNIFORM  TABLES  OF  TIME-REDUCTIONS  AT  RECEIVING-STATION — Continued. 

SALT  LAKE  OBSERVATORY,  October  19,  1872. 


Name  of  Star. 

Clamp. 

T 

tB 

«A 

<rC 

T' 

AR. 

AT 

h.  m.      s. 

s. 

s. 

s. 

h.  m.      s. 

h.  m.      s. 

m.     s. 

e     Delphini     .      .     . 

E. 

20  29  38.95 

—  0.14 

—  0.06 

+  0.06 

20  29  38.81 

20  27     7.32 

-    2    31.49 

Groombridge  3241 

33    4-49 

—  0.42 

+    O.20 

+  0.19 

33     4-46 

30  32.50 

31.96 

a    Cygni    .... 

. 

39  36-84 

—    0.20 

+    O.OI 

+  0.08 

39  36.7t 

37     5.2i 

3I-50 

,"     Aquarii 

. 

48  18.51 

—    0.06 

—  0.09 

+  0.06 

48  18.42 

45  46.69 

31-73 

12-  Year  Cat.,  1879 

55  49-03 

—    0.36 

+  0.44 

+  0.35 

55  50.06 

53  18.60 

31.46 

f     Cygni    .... 

W. 

21  10    2.41 

—    O.O5 

—    O.O2 

—  0.07 

21    10      2.27 

21     7  30.86 

3L4I 

a     Cephei  .... 

. 

18     3.66 

—   O.I2 

+  0.09 

-  0.13 

18     3.50 

15  32.60 

30.90 

fi    Cephei  .... 

. 

29  32-33 

-    0.15 

+  0.17 

-  0.17 

29  32.18 

27     1-17 

3I.OI 

f    Aquarii.     .     . 

. 

33  29.86 

—    0.05 

—  0.09 

—  0.06 

33  29.66 

30  58.22 

31-44 

e     Pegasi  .... 

40  27.34 

—   O.Og 

—  0.06 

—  0.06 

40  27.13 

37  55-88 

31.25 

ft    Capricorn!. 

• 

48  52.77 

—   O.O6 

—   O.IO 

—  0.06 

48  52.55             46  21.  16 

31-39 

—    2   11.41 

*   J    *  t* 

Normal  Equations. 

uSt  —   4.oia+   3.24,:=:  —  3.98                      n=—  0.120 

—  4.01  8t+  21.89    —  22.23^=  —  2.  15                      c—  +0.066 

+  3.24<M  —  22.  23  a  +  35.  45  f  =  +  3.38                      St=  —  0.41 

SALT  LAKE  OBSERVATORY,  October  19,  1872. 

Name  of  Star. 

Clamp. 

T 

6B 

«A 

cC 

T' 

AR. 

AT 

h.  m.      s. 

s. 

s. 

s. 

h.  m.      s. 

h.  m.     s. 

m.      s. 

226  Cephei  .... 

E. 

22  32  34.43 

—  0.03 

+  0.82 

+   O.2O 

22  32  35.42 

22  30    3.77 

—  2  31.65 

f     Pegasi  .... 

. 

37  38-63 

—   O.OI 

—  0.08 

4-  0.06 

37  38.60 

35     6.83 

31-77 

i     Cephei  .... 

. 

47  41-35 

o.oo 

+  0.32 

+    O.II 

47  4I-78 

45  10.12 

31.66 

A    Aquarii       .     .     . 

. 

48  30.22 

o.oo 

—  0.28 

+  0.05 

48  29.99 

45  58.46 

31-53 

a     Pegasi  .     .     .     •. 

. 

23    o  57.20 

o.oo 

—  0.16 

+  0.05 

23     o  5  7..  09 

58  25.42 

31-67 

o     Cephei  .... 

W. 

15  56.  85 

o.oo 

4-  0.42 

—  0.13 

15  57-15 

23  13  25.73 

3L42 

—    2   31.62 

Nortnal  Equations. 

(>6t—  2.89  a=  —  2.65                    a——  0.359 

—  2,  8g(!/+  8.630=  —  1.36                       <tt=—  0.620 

21 

(9.)  UNIFORM  TABLES  OP  TIME-REDUCTIONS  AT  RECEIVING-STATION— Continued. 

SALT  LAKE  OBSERVATORY,  October  21,  1872. 


Name  of  Star. 

Clamp. 

T 

jB 

«A 

cC 

T' 

AR. 

AT 

h.  m.      s. 

s. 

s. 

s. 

h.  m.      s. 

h.  m.      s. 

m.     s. 

61  Cygni    .... 

W. 

21     3  46.07 

—    O.IO 

+  0.69 

+  0.09 

21     3  45-75 

21     I   11.31 

—  2  35.44 

f     Cygni    .... 

10    3.65 

—    O.II 

+  2.54 

+  0.08 

10    6.16 

7  30-83 

35-33 

a     Cephei  .... 

. 

18  16.62 

-  0.24 

—  8.90 

+  0.15 

IS     7.63 

15  32-52 

35-n 

ft    Aquarii       .      .      . 

27  17.99 

—  0.08 

+  8.44 

+  0.07 

27  26.42 

24  51-13 

35-29 

ft    Cephei  .... 

E. 

29  53.21 

-  0.31 

-16.53 

—    O.20 

29  36.17 

27     1-05 

35-12 

£     Aquarii 

33  24-95 

—  0.08 

+   8.79 

—    0.07 

33  33-59 

30  58.20 

35-39 

c      Pegasi  .... 

40  25.25 

—  0.08 

+  6.13 

—    O.O7 

40  31.23 

37  55-86 

35-37 

IT  Cephei  .... 

42  56.94 

—  0.18 

-17.46 

—    O.2I 

42  39.09 

40    3.72 

35-37 

o     Aquarii       .      . 

22      I    42.61 

—  0.07 

+   7-75 

—    0.07 

22      I    5O.22 

59  14-62 

35-6o 

—  2  35.34 

Normal  Equations. 

9(^  +  0.740  +    3.42C—  —  11.86                       a  =  —  11.560 

—  o.74(5/  +  6.8o<z  +    6.2O<r=:  —  78.82                       <r  =  —    0.072 

3.42e!/  +  6.2o<z  +  2g.22<r  =  —  74.90                     rf/=—    0.370 

SALT  LAKE  OBSERVATORY,  October  21,  1872. 

Name  of  Star. 

Clamp. 

T. 

£B 

aA. 

eC 

T' 

AR. 

AT 

h.  m.      s. 

s. 

s. 

s. 

h.  m.      s. 

h.  m.      s. 

m.     s. 

<z     Pegasi  .... 

E. 

23    o  55.95 

—  0.19 

+  5-28 

-  0.13 

23     I     0.91 

22    58    25.41 

-  2  35.50 

t     Piscium 

. 

35  53.36 

—  0.09 

+  6.92 

—    O.I2 

36    0.07 

23  33  24.54 

35-53 

y    Cephei  .... 

. 

37  '7-52 

-+-  0.18 

-30.49 

-    0.55 

36  46.66 

34  11.00 

35-66 

Groombridge  4163 

W. 

51  39-62 

+  0.15 

-22.75 

+    0.44 

51  17.46 

48  41.94 

35-52 

<J     Piscium 

55  15-69 

+  0.03 

+  6.68 

+    0.12 

55  22.52 

52  46.88 

35-64 

a     Andromedae     .      . 

24     4  21.55 

+  0.03 

+  2.81 

+    O.I4 

24     4  24.53 

24     I  49.04 

35-49 

y     Pegasi  .... 

• 

9  11.46 

—    O.OI 

+  5-39 

+    0.13 

9  16.97 

6  41.32 

35-65 

Mean  23'"  30""  local  sidereal  time     

—    2   35-55 

Normal  Equations. 

T<5t+    2.23<z  +    o.2g<r=—    30.02                          a  =:  —  11.725 

2.23<5/+  ii.67«—    4.82^  =  —  138.58                         f=+    0.124 

0.29*—    4.82«  +  37.58^=  +    61.02                      St——    0.550 

22 


(IQ.)  UNIFORM  TABLES  OF  TIME-REDUCTIONS  AT  SENDING-STATION. 

CHEYENNE,  WYOMING  TERRITORY,  October  5,  1872. 


Name  of  Star. 

Clamp. 

T 

m 

aA 

cC 

T' 

AR. 

AT 

h.  m.      s. 

s. 

s. 

s. 

h.  m.      s. 

h.  m.      s. 

h.  m.     s. 

a2  Capricorni. 

E. 

22      2   48.80 

+    0.22 

+  65.35 

+  0.30 

22      3    54-67 

20  to  58.95 

-I   52  55-72 

IT    Capricorni. 

. 

II    44.94 

+    O.lg 

+  71-72 

+  0.31 

12    57.16 

20     1.58 

55.58 

£     Delphini     . 

. 

19   22.33 

+    0.31 

+  40.34 

+  0.30 

2O      3.28 

27     7-54 

55-74 

Groombridge  3241 

. 

25    39-18 

+    1.03 

-131.73 

4-  0.98 

23    29.46 

30  33-49 

55-97 

"     Aqilarii 

. 

37  40.48 

+    0.25 

4-  61.58 

+  0.30 

38   42.61 

45  46.87 

55-74 

v     Cygni    .... 

. 

45  20.01 

+    0.52 

4-     0.78 

+  0.39 

45  21.70 

52  25.69 

56.01 

61  Cygni    .... 

. 

54     i-52 

+    0.50 

t-      5-27 

+  0.38 

54     7.67 

21      I    11.63 

56.04 

a    Cephei  .... 

. 

23     9  27.52 

+  0.79 

—   59-93 

+  0.64 

23     8  29.02 

15  33-14 

55.88 

/3    Aquarii 

. 

16  48.55 

+  0.28 

4-   58.12 

4-  0.30 

17  47-25 

24  5L33 

55-92 

£     Pegasi  .... 

. 

30    9.30 

+  0.34 

-t-  41-72 

4-  0.30 

30  51.66 

37  56.05 

55-61 

II  Cephei  .... 

. 

34  56.12 

-t-  1.05 

-»7.73 

+  0.91 

33     0.35 

4°    4-57 

55.78 

ft    Capricorni. 

. 

38  10.01 

+    O.22 

4-  66.69 

4-  0.31 

39  r7-22 

46  21.32 

55-9° 

79  Draconis    . 

. 

46  35-77 

4-  1.16 

-143.21 

4-   1.03 

44  14-75 

5i  18.93 

55-82 

a     Aquarii.      . 

. 

51  17.44 

4-  0.29 

+   52.77 

4-  0.30 

52  10.80 

59  14-78 

.  56.02 

6     Aquarii. 

• 

24      2      I.Q2 

4-  0.26 

60.48 

4-  0.30 

24     3     2.96 

22    IO      7.06 

55-9° 

—  T     C2     C  C     R  \ 

L    o^   5b'°4 

• 
Normal  Equations. 

\t,St—    0.9212=4      74.33                  a  =  —  78.642 

—  0.921^4-  13.950=  —  1097.11               <W=4-   0.160 

CHEYENNE,  WYOMING  TERRITORY,  October  5,  1872. 

Name  of  Star. 

Clamp. 

T 

1>B 

aA 

cC 

T' 

AR, 

AT 

h.  m.       s- 

s. 

s. 

s. 

h.  m.      s. 

h.  m.      s. 

h.  m.     s. 

t     Piscium      .     .     . 

W. 

25  25  33.95 

+  0.28 

+  46.27 

—  0.30 

25  26  20.20 

23  33  24.59 

-I  52  55-61 

y     Cephi    .... 

. 

30  28.91 

+  1.25 

—  201.71 

-   1-33 

27     7.12 

34  1  1.  60 

55-52 

Groombridge  4163 

. 

44     7-86 

+  1.05 

-149.71 

-.1.07 

4i  38.13 

48  42.32 

55-81 

a    Andromedae    . 

. 

54  25.00 

4-  0.39 

+  19-59 

—  0-34 

54  44.64 

24     I  49.06 

55.58 

7     Pegasi  .     ...     . 

• 

59    0-72 

+  0.32 

+  36.13 

-  0.31 

59  36.86 

6  41-33 

55-53 

—  I    ^2    ^S    60 

*    y    33  «  •*»* 

Normal  Equations. 

5(V+    3.  2ia=  —247.54                a=  —  78.00 

3.  21  (5/4-  n.o2a=  —  857.87               (S/=+o.s8 

(TO.)  UNIFORM  TABLES  OF  TIME-REDUCTIONS  AT  RECEIVING-STATION — Continued. 

CHEYENNE,  WYOMING  TERRITORY,  October  14,  1872. 


Name  of  Star. 

Clamp. 

T 

«B 

aA 

eC 

r 

AR. 

AT 

h.   m.      s. 

s. 

s. 

s. 

h.   m.      s. 

h.    m.      s. 

h.  m.      s. 

6    Aquarii. 

W. 

24    2  50.84 

+  0.05 

—  0.70 

-  0.35 

24     2  49.84 

22   10     6.97 

-I  52  42.87 

TT    Aquarii. 

10  30.51 

4-  0.06 

-  0.59 

-  0.35 

10  29.63 

18  46.61 

43.02 

g     Draconis,  L.  C.     . 

. 

16  54.06 

—  0.16 

-  3-42 

+  1.48 

16  51.96 

24     9.01 

42.95 

226  Cephei  .... 

22   46.08 

4-  0.26 

+  2.07 

-  1.40 

22   47.OI 

30     4.06 

42.95 

f     Pegasi  .  '  . 

27  50.73 

+  0.07 

-  0.48 

—  0.36 

27   49.96 

35     6.88 

43.08 

L     Cephei  .... 

. 

38  53.05 

4-  0.17 

4-  0.91 

-  0.84 

38    53.29 

.45  10.27 

43-02 

a     Piscis  Australia    . 

. 

43  21.71 

4-   0.03 

—    1.  00 

-  0.41 

43  20.33 

50  37.19 

43-14 

n     Pegasi  .... 

CO       O    TC 

4-  0.07 

—  0.42 

—  0.36 

50     8.64 

58  25.46 

43.18 

Mean  at  2211  30'"  local  sidereal  time      . 

—  I  52  43.03 

Normal  Equations. 

8<5/4-    3.qg«—    7.4O<r=  —    6.38                         a  =  —  0.91 

3.Q9'V+  22.89  a  +  23.741:  =  —  12.73                         t—  +0.35 

—  7.40<J/4-  23.740  4-45.  34<r  =  —    5.45                      it  =—0.02 

CHEYENNE,  WYOMING  TERRITORY,  October  14,  1872. 

Name  of  Star. 

Clamp. 

T 

t>B 

<zA 

cC 

T' 

AR. 

AT 

h.   m.      s. 

s. 

s. 

s. 

h.   m.      s. 

h.  m.      s. 

h.  m.      s. 

E. 

2C    26    <\I    23 

_|_    o.  46 

-L,       T       QT 

4-  0.88 

or    26    C  d     HA 

2*3    U    T  I     *5O 

~  I     C2    A1    2d 

Groombridge4i63 

*3    f'^J    D  *•  '  "  J 

41  22.86 

+  0.39 

~   A  •  y  / 
+   1.46 

+  0.71 

*J    ^u    J-f'J't 
41    25.42 

*J    J4    A  A  •  3** 
48    42.13 

i    D*    *tj.^f 
43-29 

a    Piscium      .      .      . 

. 

45  30.00 

+    O.  IO 

-  0.44 

+    O.2O 

45  29.86 

52    46.89 

42-97 

4     Draconis,  L.  C.     . 

58  55.60 

—  0.32 

-   3-27 

-   0.99 

55  51-02 

24     6     7.60 

43-40 

a     Cassiopeiae 

W. 

26  26     1.77 

+   O.IO 

+  0.34 

—    0.36 

26  26     1.85 

33  18.71 

43-14 

21  Cassiopeiae 

30     I  .  So 

+  0.18 

+   1-54 

-  0.75 

30    2.77 

37  19-31 

43.46 

c     Piscium      .     .     . 

. 

49     4.42 

+  0.05 

-  0.43 

—    O.2O 

49    3.84 

56  20.74 

43.10 

0l    Ceti      .... 

27  10  24.33 

4-  0.04 

-  0.59 

—    0.2O 

27  10  23.58 

25  17  40.21 

43-37 

38  Cassiopeiae 

. 

14  31-84 

+  0.15 

+   1.04 

-    0.57 

14  32.46 

21    49.26 

43.20 

t/     Piscium 

. 

17  24.58 

+  0.07 

-  0.35 

—    O.2I 

17  24.09 

24  40.83 

43.26 

o     Piscium 

• 

31  24.62 

+  0.05 

—  0.41 

—    O.20 

31  24.06 

38  40.93 

43-13 

Mean  at  24''  30™"  local  sidereal  time      

—  I     <2    4*3    "21 

1    D*    T-J  •  *J 

Normal  Equations. 

ii(S/  —    i.i2a—    8.35<r=  —    3.39                       a  =  —  0.76 

—  i.i2(!/4-  36.820  —  29.15*:  =  —  33.68                       c  =  +  0.20 

—  8.35  it—  29.  15  a  +  86.78  c  =  +  42.  90                         rf/  =  —  0.23 

24 

(ID.)  UNIFORM  TABLES  OF  TIME-REDUCTIONS  AT  RECEIVING-STATION — Continued. 

CHEYENNE,  WYOMING  TERRITORY,  October  16,  1872. 


Name  of  Star. 

Clamp. 

T 

f>B 

A 

^C 

T' 

AR. 

AT 

h.  m.      s. 

s. 

s. 

s. 

h.  m.      s. 

h.  m.      s. 

h.  m.      s. 

Groombridge  3241 

E. 

22  23  11.27 

+  0.53 

+  1.51 

+  o-33 

22  23  13.64 

20   30   32.58 

—  I  52  41  .06 

a     Cygni    .... 

29  45-57 

+  0.26 

+  0.08 

+  0.14 

29  46.05 

37     5-29 

40.76 

.»     Aquarii 

. 

38  28.07 

+    0.12 

—  0.71 

+    O.IO 

38  27.58 

45  46.74 

40.84 

v     Cygni    .... 

. 

45     5-8o 

+    0.28 

—    O.OI 

+  0.13 

45     6.20 

52  25.44 

40.76 

61  Cygni    .... 

53  5i-8i 

+    0.29 

—  0.06 

+  0.13 

53  52.17 

21      I    11.41 

40.76 

if    Aquarii 

W 

24  ii  28.03 

+  0.18 

—  0.58 

—  o.  10 

24  ii  27.53 

22    18   46.59 

40.94 

9     Draconis,  L.  C. 

. 

16  53.41 

-  0.47 

-  3-39 

+  0.42 

16  49.97 

24      9-25 

40.72 

.,     Aquarii 

. 

21  30.52 

+  0.19 

—  0.60 

—   O.IO 

21    3O.OI 

28   48.96 

41.05 

f    Pegasi  .... 

. 

27  48.17 

+  0.23 

-  0.47 

—    O.  IO 

27   47.83 

35     6.86 

40.97 

—  I  52  40.88 

Normal  Equations. 

g£t+   4.690+   9.48^=  —   2.42                     rt  =  —  0.90 

4.  f>gdt+  18.723+    g.4O<r=  —  15.04                         <T=+O.IO 

9.481?^+    g.4O<z  +  37.94*-  =  —    2.72                      <W=+o.io 

CHEYENNE,  WYOMING  TERRITORY,  October  16,  1872. 

Name  of  Star. 

Clamp. 

T 

ftB 

<zA 

<rC 

T' 

AR. 

AT 

h.  m.      s. 

s. 

s. 

S. 

h.  m.      s. 

h.  m.     s. 

h.  m.      s. 

4     Draconis,  L.  C.     . 

W. 

I  58  52-98 

-  0.66 

-  4.99 

+  1.13 

I  58  48.46 

o    6     7  .  70 

—  i  52  40.76 

a    Cassiopeix 

. 

2   25    58.46 

+  0.50 

+  0.52 

—  0.41 

2    25    59.07 

33  18.71 

40.36 

21  Cassiopeiae 

. 

29   57.65 

+  0.99 

+  2-34 

—  0.85 

30      O.I3 

37  ig-30 

40.83 

E     Piscium 

. 

49     r-78 

+  0.32 

—  0.65 

—  0.23 

49     1.22 

56  20.75 

40.47 

g    Ceti  

E. 

3    IO  21.21 

+  0.25 

—    O.QO 

+  0.23 

3  10  20.79 

I  17  40.24 

40.55 

38  Cassiopeiae 

14   26.64 

+  0.95 

V.   yv 

+  1-59 

+  0.66 

14  29.84 

21    49.29 

40.55 

ij    Piscium      .     .     . 

. 

17  21.33 

+  0.37 

-  0-53 

+  0.24 

17  21.41 

24   40.85 

40.56 

—  I  52  40.58 

Normal  Equations. 

T&t+   2.260+   3.37^  =  —   5.92                      a      —  1.160 

2.26(^+25.78     +  26.  2$c  =  —  25.42                              <r  =  +0.225 

3.37*+  26.250  +  52.52  <r  =  —  20.71                            <«=  —0.590 

25 

(ID.)  UNIFORM  TABLES  OF  TIME-REDUCTIONS  AT  RECEIVING-STATION — Continued. 

CHEYENNE,  WYOMING  TERRITORY,  October  18,  1872. 


Name  of  Star. 

Clamp. 

T 

6B 

«A 

cC 

T' 

AR. 

AT 

h.   ni.     s. 

s. 

s. 

s. 

h.  m.     s. 

h.  m.     s. 

h.  m.     s. 

<fl   UrsxMaj.,  L.C.    . 

W. 

22  51  48.50 

—  o%i4 

-  3-'3 

+  0.52 

22  51  45-75 

59    7-95 

-i  52  37.80 

C     Cygni     .... 

. 

23     o     9.13 

+  0.17 

—  0.29 

—  0.23 

23    o    8  .  78 

21     7  30.88 

37-90 

a     Cephei  .... 

8     9.66 

+  0.32 

+  0.96 

-  0.43 

8  10.51 

15  32-64 

37-87 

I     Draconis,  L.  C. 

II  25.78 

—  0.62 

-  7.48 

+  1.42 

n  19.10 

9  18  41.04 

38.06 

/?    Cephei  .... 

19  37.72 

+  0.51 

+  1.78 

-  0.59 

19  39.42 

21    27      1.22 

38.20 

f     Aquarii.      .      .      . 

. 

23  37-34 

+  0.13 

-  0-97 

—    O.2O 

23  36.30 

30   58.24 

38.06 

e      Pegasi  .... 

. 

30  34-49 

+  0.17 

—  0.67 

—    0.2C 

30  33-79 

37  55-9° 

37-89 

ii  Cephei  .... 

. 

32  40.02 

+  0.53 

+  1.89 

—  0.61 

32  41-83 

40    3.88 

37-95 

ft    Capricorn!  . 

. 

39     0-41 

+  0.14 

-  1.07 

—   O.2I 

38  59-27 

46  21.17 

38.10 

79  Draconis     . 

43  54-°7 

+  0.58 

+  2.29 

—   0.69 

43  56-25 

51  18.18 

38.07 

—  I   52  17.  oq 

J       J  1     yy 

Normal  Equations. 

io<5/+    5.330  =  —    6.61                 a  =  —  1.256 

5-33<"+  51.260  =  —  64.32                6t=+o.oio 

CHEYENNE,  WYOMING  TERRITORY,  October  18,  1872. 

Name  of  Star. 

Clamp. 

T 

6B 

aA 

cC 

T' 

AR. 

AT 

h.   m.     s. 

s. 

s. 

s. 

h.   m.     s. 

h.  m.     s. 

h.  m.    s. 

(      Piscium      .      .      . 

W. 

25  26    2.90 

-t-    O.O2 

—  0.58 

—    O.2O 

25  26    2.14 

23  33  24.56 

-i  52  37.58 

Groombridge  4163 

. 

41  18.63 

—   0.03 

+   1.87 

-    0.71 

41  19.76 

48  42.03 

37-73 

o    Piscium 

. 

45  25.25 

—    O.OI 

—  0.56 

—   O.20 

45  24.48 

52  46.89 

37-59 

4     Draconis,  L.  C.     . 

. 

58  48.54 

-t-   O.IO 

-  4.19 

+    0.99 

58  45-44 

24    6     7.77 

37-67 

o    Cassiopeae  . 

. 

26  24  56.21 

—    0.03 

+  0.44 

—    0.36 

26  24  56.26 

33  18.70 

37.56 

ft    Ceti  

20  m  "\\ 

—  o.  02 

—  o.  89 

—    O.  21 

20  ^o  10 

^,7    T2    5C 

11  6/1 

E      Piscium      .      .      . 

*y    D  *  *  J* 
48    59.06 

—   O.O2 

-  0.55 

—    O.2O 

~y  DV-  *y 

48  58.29 

J/    A*  •  3D 
56    2O.76 

J  1  '  U<T 

37-53 

Mean  at  24h  local  sidereal  time    

—  i  52  37.61 

Normal  Equations. 

7<fr+    4.570  =  —    1.76               'a  =  —0.975 

4.57^  +  24.190  =—  21.82                &t=  +0.390 

•26 


(zo.)  UNIFORM  TABLES  OF  TIME-REDUCTIONS  AT  RECEIVING-STATION — Continued. 

CHEYENNE,  WYOMING  TERRITORY,   October  19,   1872. 


Name  of  Star. 

Clamp. 

T 

6B 

flA 

cC 

T' 

AR. 

AT 

h.  m.      s. 

s. 

s. 

s. 

h.  m.      s. 

h.  m.      s. 

h.  m.     s. 

<J*   Ursae  Majoris.L.  C. 

W. 

22    51    45.73 

+  0.17 

-  1.04 

—  0.08 

22    51    44.78 

20  59     8.  02 

—  I   52  36.76 

f     Cygni    .... 

. 

23    o    8.13 

—  0.23 

—  o.  10 

+  0.03 

23     o     7.83 

21     7  30.87 

36.96 

a     Cephei  .... 

8     9-55 

—  0.40 

+  0.32 

+  0.06 

8     9-53 

15  32.60 

3M3 

I     Draconis,  L.  C. 

. 

11   20.45 

+  0.78 

-  2.49 

—    0.21 

ii   18.53 

18  41.22 

37-31 

/?    Aquarii. 

17  28.70 

-  0.14 

—  0.31 

+    0.03 

17  28.28 

24  51.15 

37-13 

/3    Cephei  .... 

19  38.10 

-  0.51 

+  0.59 

+    0.09 

19  38.27 

26     1.17 

37-10 

f     Aquarii.      .      . 

. 

23  35.84 

-  0.13 

—  0.32 

+    0.03 

23  35.42 

30  58.22 

37-20 

e     Pegasi  .... 

30  33.38 

-  0.17 

—    0.22 

+    0.03 

30  33.02 

37  55-88 

37-14 

ii  Cephei  .... 

32  40.62 

-  0.34 

+    0.63 

+    O.Og 

32  41.00 

40     3.83 

37-17 

H    Capricorn! 

. 

38  58.85 

—  0.08 

—    0.36 

+    0.03 

38  58.44 

46  21.  16 

37-28 

79  Draconis    . 

. 

43  55-14 

-  0.35 

+    0.76 

+    C.IO 

43  55.65 

51   18.12 

37-53 

v    Aquarii 

E. 

o  ii  24.15 

—    O.IO 

—    O.27 

—  0.03 

o  II  23.75 

22    18   46.56 

37-19 

9     Draconis,  L.  C. 

. 

16  47.94 

+  0.27 

-    1.58 

+  0.13 

16  46.76 

24     9-53 

37-23 

f     Pegasi  .... 

27  44.47 

—    0.12 

—    O.22 

—  0.03 

27  44.10 

35     6.83 

37-27 

—  1   52  37.16 

Normal  Equations. 

I4d/+  n.ooa  —     9.251:=—    6.54                 a  =  —  0.42 

ii.  oo<5<  +  66.64(1+    47.  igc=  —  30.96                 c  =  —  0.03 

—  9.25  6t  +  47.190  +  116.65  c=  —  21.  10                fit=  —  0.20 

CHEYENNE,  WYOMING  TERRITORY,  October  19,  1872, 

Name  of  Star. 

Clamp. 

T 

6B 

<zA 

rC 

T' 

AR. 

AT 

h.  m.      s. 

s. 

s. 

s. 

h.  m.      s. 

h.  m.      s. 

h.  m.     s. 

o     Cephei  .... 

E. 

25     6     2.45 

—  0.56 

+-  0.64 

+  0.04 

25     6     2.57 

23  13  25.74 

-I  52  36.83 

8     Piscium 

. 

14     8-37 

—    0.2O 

—  0.32 

+    0.02 

14     7.87 

21    30.90 

36.97 

y    Cephei  .... 

. 

26  47.54 

-  0.86 

+   1-45 

+    0.07 

26  48.20 

34  I  i.  10 

37.10 

u    Piscium 

. 

45  24-30 

—    O.20 

—  0.32 

+    0.02 

45  23.8o 

52  46.88 

36.92 

4     Draconis,  L.  C. 

58  47-02 

+    0.24 

-  2.41 

—    O.O7 

58  44.78 

24     6     7.81 

36.97 

21  Cassiopeiae 

W. 

26  29  55.48 

—    O.Og 

+  1.13 

—    O.O6 

26  29  56.46 

37  19-27 

37-19 

32  Camelop.,  L.  C.     . 

40  44-93 

+    O.l6 

-  4-45 

+    0.15 

40  40.79 

48     3-69 

37.10 

c     Piscium      .     . 

. 

48  58.09 

—    O.O2 

—  0.31 

—    O.O2 

48  57-74 

56  20.76 

36.98 

6     Ceti       .... 

27  10  17.73 

—    O.O2 

—  0.44 

—    O.O2 

27  10  17.25 

25  17  40.26 

36.99 

38  Cassiopeise      .     . 

§ 

14  25.80 

—  o.oS 

+  0.77 

—    O.O6 

14  26.43 

21    49.32 

37-10 

q     Piscium 

17  i8.ii 

—    0.03 

—  0.26 

—    O.O2 

17  17.81 

24  40.87 

36.94 

—  i  52  37.01 

Normal  Equations. 

nit+   8.080+     4.22c—  —   4.52               o=—  0.560 

8.o8<5/  +  97.49<j  +    52.40^=  —  53.73                c=  +0.015 

4.22  it  +  52.4012  +  172.  3&r  =  —  26.64              &t  —      o.ooo 

27 


(TO.)  UNIFORM  TABLES  OF  TIME-REDUCTIONS  AT  RECEIVING-STATION — Continued. 

CHEYENNE,  WYOMING  TERRITORY,  October  21,  1872. 


Name  of  Star. 

Clamp. 

T 

6B 

rtA 

cC 

T' 

AR. 

AT 

h.    m.      s. 

s. 

s. 

s. 

h.  m.      s. 

h.  m.      s. 

h.  m.      s. 

/'     Capricorn!. 

W. 

23  3S  55-98 

+    O.O2 

-  0.85 

—  0.16 

23  38  54-99 

21  46  21.13 

-I   52  33.86 

79  Draconis    . 

43  50.79 

+  0.09 

+   1.82 

-  0.55 

43  52.15 

51   17-99 

34.16 

a     Aquarii. 

51  49-23 

+    0.01 

—  0.67 

—  o.  16 

51  48.41 

59  14.62 

33-79 

32   Ursae  Maj.,  L.  C.  . 

24     I    ig.g4 

—  0.03 

-   2.33 

+  0.39 

24     I   17-97 

22       8    43.77 

34-20 

ir     Aquarii. 

. 

II   21.07 

+  0.03 

—  0.65 

—  0.16 

II   20.29 

18  46.54 

33-75 

g     Draconis,  L.  C. 

16  46.57 

—  0.08 

-   3.76 

+-  0.68 

16  43.41 

24     9.60 

33-Si 

TI     Aquarii. 

21    23.47 

+  0.03 

—  0.67 

—  o.  16 

21    22.67 

28  48.91 

33.76 

C     Pegasi  .... 

27    41  .28 

+  0.07 

—  0.52 

—  0.16 

27    40.67 

35     6.81 

33-86 

a     Pegasi  .... 

E. 

50  5g.66 

+  0.07 

—  0.46 

+  0.16 

50  59-43 

58  25.41 

34.02 

o     Cephei  .... 

. 

25     5   58.18 

+  0.18 

+   1.15 

+  0.41 

25     5  59-92 

23  13  25.68 

34-34 

8     Piscium 

M     5-ig 

+  0.06 

-  0.58 

+  0.16 

14     4-83 

21    30.89 

33.84 

>.     Draconis,  L.  C. 

1  6  23.34 

—  0.08 

-   2-73 

-  0.47 

16  20.06 

23   46.30 

33.76 

y     Cephei  .... 

26  41  .07 

+  0.29 

+   2.59 

+  0.71 

27  44.66 

34  it.  oi 

33.65 

Mean  at  23''  local  sidereal  time  

—  I  52  33.91 

Normal  Equations. 

I3<"  +    7.66n  +    4.30.:=:—    5.93                         «  =  —  I.oo 

7.  66(5^  +  41.  220+    3.07<r  =  —  39.91                           c=+O.l6 

4.301!^+    3.07*  +  77.44^  =  +    9.96                      <5/  =  +  o.io 

CHEYENNE,  WYOMING  TERRITORY,  Octobers,  1872. 

Name  of  Star. 

lamp. 

T 

bB 

aA. 

cC 

T' 

AR. 

AT 

h.  m.      s. 

s. 

s. 

s. 

h.  m.      s. 

h.  m.      s. 

h.  m.      s. 

a     Cassiopese 

E. 

2  25  51.28 

+  o.og 

+  0.43 

+  0.25 

2    25    52.05 

o  33   18.69 

-I   52  33.36 

21  Cassiopese 

2g  50.46 

+  0.15 

+   1.92 

+  0.52 

29   53.05 

37  19-22 

33.83 

32  Camelopard.,  L.  C. 

40  46.90 

-  0-45 

-   7-55 

-  1.36 

40   37-54 

48     3-75 

33-79 

£     Piscium 

48  54.62 

+  0.06 

-  0.53 

+  0.14 

48    54.29 

56  20.76 

33-53 

6     Ceti 

W. 

3  10  14.40 

+  0.07 

-  0.74 

—  o.  14 

3   10  13.59 

I   17  40.26 

33-33 

38  Cassiopere 

14  21.72 

+  0.30 

+   1.30 

-  0.40 

14  22.92 

21    49.31 

33-61 

ri     Piscium 

17  14.62 

+  0.15 

-  0.44 

-  0.14 

17  14.19 

24   40.87 

33-32 

Mean  at  25''  local  sidereal  time  

—  i  52  33.54 

Normal  Equations. 

7  fit  +    5.  girt—      8.16*=—    3.27                        «=—  0.950 

5.91  it  +  70.4g<7  -    82.  36^  =  —  75.09                         £-=+0.140 

—  8.  ibtt  —  82.360  +  122.  8o<r  =  -t-go.gS                       (^=  +  0.490 

28 


The  following  table  shows  the  corrections  and  the  rate  of  the  chronometers  used 
at  Cheyenne  and  Salt  Lake  City: 


CHEYENNE. — NEGUS  1499. 


Date. 

Local 
sidereal  hour. 

Correction  of  chronometer. 

Rate  per  hour. 

1872. 
October    5 

h. 
22.50 

h.    m.       s. 

-   i     52     55.725 

Ml 

14 

23.50 

43-I30 

+  0.058 

16 

23.00 

40.725 

+  0.051 

18 

23.00 

37-800 

+  0.061 

19 

23.25 

37-085 

-t-  0.030 

21 

24.00 

33-725 

+  0.069 

SALT  LAKE. — NEGUS  1 5  I  I . 


Date. 

Local 
sidereal  hour. 

Correction  of  chronometer. 

Rate  per  hour. 

1872. 
October    5 

h. 

22.00 

h.   m.        s. 
—02     10.415 

14 

21-75 

23.050 

-  0.059 

16 

22.50 

26-455 

—  0.070 

18 

22.50 

29.760 

0.069 

19 

21.75 

3L5I5 

—  0.075 

21 

22.50 

35-445 

—  0.081 

29 


(n.)  GROUPING  OF  SERIES  OF  EXCHANGE-SIGNALS. 

This  table  shows  the  result  obtained  for  longitude  each  way  each  night  and  the 
mean  of  all  the  nights: 


Signals  sent 
from  — 

Stations  of 
record. 

Means  of  signals 
sent  and  received. 

Chronometric 
errors. 

Local  sidereal 
times. 

Difference 
of  longitude. 

Means. 

1872. 
October  5. 

h.     m.         s. 

h.    m.        s. 

h.  m.  s. 

h.    m.       s. 

s. 

Salt  Lake..  \ 

Cheyenne  chron. 
Salt  Lake  chron. 

o     55       6.  20 
22     36       1.51 

—  i     52     55.69 
-  o      2     10.45 

23  2  10.51 
22  33  51.06 

o    28     19.45 

Cheyenne.  .  -J 

Cheyenne  chron. 
Salt  Lake  chron. 

I       3     24-84 
22     44     20.17 

—  i     52     55.69 

—    O        2      10.46 

23  10  29.15 

22  42  9.71 

19.44 

I9.445 

October  14. 

Salt  Lake..  j 

Cheyenne  chron. 
Salt  Lake  chron. 

I       7     50.17 
22    49     10.68 

-  I    52   43.14 

—    0        2      23.12 

23  15  7-03 
22  46  47.56 

19.47 

Cheyenne..  \ 

Cheyenne  chron. 
Salt  Lake  chron. 

i     15     17.75 

22      56      38.32 

-    I      52      43.14 
-    0        2      23.13 

23  22  34.61 
22  54  I5-I9 

19.42 

19.445 

October  1  6. 

Sail  Lake.  .  ] 

Cheyenne  chron. 
Salt  Lake  chron. 

I     37     10.90 
23     18     37-35 

-    I      52      40.68 
—    O        2      26.51 

23  44  30.22 
23  16  10.84 

I9-38 

Cheyenne.  .  •] 

Cheyenne  chron. 
Salt  Lake  chron. 

I     43     40.42 
23     25       6.95 

—    I      52      40.67 
—    O        2      26.52 

23  5°  59-75 

23  22  40.43 

19.32 

I9.350 

October  1  8. 

Salt  Lake.,  j 

Cheyenne  chron. 
Salt  Lake  chron. 

I       7     26.35 
22      48      58.83 

-    I      52      37-79 
—   O        2      29.77 

23  14  48.56 

22  46  29.06 

19.50 

Cheyenne.  .  -j 

Cheyenne  chron. 
Salt  Lake  chron. 

I      14        3.64 
22     55     36.07 

-  i     52     37-79 

—   O        2      29.79 

23  21  25.85 
22  53  6.28 

19-57 

19.535 

October  19. 

Salt  Lake.,  -j 

Cheyenne  chron. 
Salt  Lake  chron. 

o    32    25.80 

22      14        0.79 

-  i     52     37." 

—    02      31.55 

22  39  48.69 

22  II  29.24 

19-45 

Cheyenne.  .  •< 

Cheyenne  chron. 
Salt  Lake  chron. 

o    40    33.11 

22      22        8.IO 

—  I    52    37.10 

—    0        2      31.56 

22  47  56.01 
22  19  36.54 

19-47 

19.460 

October  21. 

Salt  Lake..  ] 

Cheyenne  chron. 
Salt  Lake  chron. 

I      33        9-20 
23      '4      51-59 

—  i     52    33-75 

-    0        2      35.50 

23  4°  35-45 
23  12  16.09 

19.36 

Cheyenne.  .  \ 

Cheyenne  chron. 
Salt  Lake  chron. 

I     39     10.98 
23      20      53.34 

-  i     52     33-74 
-  o      2     35.51 

23  46  37.24 
23  18  17.83 

19.41 

19-385 

Cheyenne  east  of  Salt  Lake  City oh  28m  ig".437±o8.oi7 


30 

(12.)  PERSONAL  EQUATION. 

Whatever  differences  there  may  have  been  between  Mr.  Austin  and  myself  in 
recording  time,  technically  known  as  the  personal  equation,  is  still  involved  in  the  lon- 
gitude. To  determine  this  difference,  we  had  two  nights'  observations  together;  the 
one  at  Salt  Lake  in  September,  1872,  the  other  at  the  Naval  Observatory,  May,  1873. 
In  Salt  Lake  we  used  different  instruments  on  the  same  stars,  in  Washington  the  same 
instrument  on  different  stars.  The  record,  in  both  instances,  was  made  on  a  chrono- 
graph. The  result  shows  a  large  difference — Mr.  Austin  observing  later  than  myself, 
as  may  be  seen  by  a  statement  of  the  following  clock-errors: 

SALT  LAKE  CITY,  UTAH,  September  13,  1872. 

m.  s. 

Clark ! 2     37.95 

—  OS.2O 

Austin 2     38. 1 5 

NAVAL  OBSERVATORY,  May  17,  1873. 

s. 

Clark +i  1.22 

Austin +  10.92 

Though  this  is  not  considered  sufficiently  satisfactory  to  apply  without  further 
data,  it  is  positive  evidence  of  the  existence  of  an  element  affecting  our  results ;  and  I 
have  the  more  faith  in  it  because  it  expresses  the  sign  between  us  which  I  would  indicate 
reasoning  a  priori.  I  am  convinced  that,  in  my  own  case  at  least,  personal  equation  is 
a  variable  quantity,  and  introduces  an  error  which  cannot  be  easily  eliminated  unless 
some  means  be  devised  by  which  it  may  be  determined  in  the  course  of  every  even- 
ing's observations. 

(13.)  PROBABLE  ERROR. 

The  computations  were  made  by  the  method  of  least  squares.  The  conditional 
equations  were  sometimes  formed  with  and  sometimes  without  the  correction  for  colli- 
mation  (c) ;  in  the  former  case  it  was  obtained  from  a  preliminary  reduction.  All  the 
observations  at  both  stations  were  made  under  the  same  circumstances  and  conditions, 
except  the  night  of  the  Hth  at  Cheyenne,  when  the  signals  had  to  be  received  by 
sound  in  consequence  of  the  failure  of  the  chronograph  to  work.  It  accords  with  the 
rest,  and  is  included  with  full  weight;  and  the  probable  error  of  the  final  result  is  by 
the  formula, 


Errors 0.6745  x   /-  TT=±°  -OI7- 


(14.)  RESULTING  LONGITUDE. 

From  the  foregoing  I  conclude  that  the  difference  of  longitude  between  Salt  Lake 
City  observatory  and  the  station  at  Cheyenne  is  28""  i9s-437;  which  difference,  how- 
ever, is  still  subject  to  correction  for  personal  equation;  and  if  any  weight  is  to  be 
given  to  what  is  indicated  as  this  equation  between  Mr.  Austin  and  myself,  this  longi- 
tudinal difference  will  be  reduced  by  the  extent  of,  perhaps,  os.2  of  a  second. 


31 


(15.)  REDUCTION  OF  THE  LATITUDE  OBSERVATIONS. 

Mean   Places  of  Stars  for    1872.0   used  for   Determination  of  Latitude  of  Cheyenne, 

Wyoming  Territory. 


No.  of 
pair. 

No.  in 
B.  A.  C. 

Right 
ascension. 

Declination. 

No.  of 
pair. 

No.  in 
B.  A.  C. 

Right 
ascension. 

Declination. 

h.  m.  s. 

0     ,      „ 

h.  m.  s. 

•  i 

6491 

18  54  8 

32  30  55-3 

7721 

22  3  35 

32  32  52.9 

i 

6497 

55  9 

31  58  3-4 

- 

" 

7731 

4  19 

32  33  2.3 

2 

6579 

19  8  45 

49  36  56.6 

7746 

6  9 

50  II  29.4 

6626 

15  22 

49  19  57.8 

7858 

26  45 

39  7  19-4 

3 

6642 

18  37 

16  41  23.8 

32 

7879 

30  7 

38  57  56.5 

6646 

19   2 

2  51  40.6 

33 

7880 

30  12 

38  58  21.3 

4 

6647 

19  o 

16  42  30.2 

34 

7906 

34  52 

43  36  3LI 

6662 

19  59 

65  28  5.1 

n  j> 

7915 

35  45 

39  33  26.8 

6722 

31  13 

36  39  42.7 

35 
on 

7972 

46  15 

42  37  57-2 

6754 

37  52 

45  13  21.6 

3° 

•3*7 

7978 

47  19 

39  29  16.4 

6771 

39  40 

37  2  46.8 

37 

7984 

48  17 

39  41  41-2 

6777 

40  54 

34  42  8.2 

~Q 

8023 

56   2 

41  38  18.2 

6830 

48  42 

47  36  8.4 

3° 

8037 

58  29 

40  35  4-0 

Q 

6924 

2O   2  27 

55  58  15.3 

8131 

23  14  18 

23  2  24.9 

O 

6940 

5  12 

26  31  33.6 

39 

8153 

16  47 

59  25  55.0 

6943 

6  26 

26  25  44.7 

* 

8160 

18  58 

22  42   0.3 

9 

6976 

10  25 

56  10  35.7 

8195 

25  o 

38  3t  59-7 

6933 

II  30 

47  19  19-5 

41 

8223 

31  18 

43  43  I7.I 

10 

6998 

13  43 

34  35  2.2 

42 

8237 

34  4 

43  37  3L7 

7022 

17  34 

39  50  53-3 

8279 

42  36 

61  30  12.6 

1  1 

7041 

20  57 

42  II  12.8 

43 

8296 

45  52 

20  57  33.7 

44 

8301 

46  9 

21   I  53-5 

7101 

28  26 

41   2  12.5 

45 

8338 

54  13 

61  27  54.3 

*3 

7114 

29  57 

40  39  29.0 

8359 

57  37 

61  34  30.3 

7174 

37  J7 

41  '5  34-3 

Af\ 

68 

o  14  35 

67  6  46.1 

7198 

40  22 

46  49  59.6 

4° 

98 

20  53 

15  19  o.i 

14 

7213 

42  24 

36  I  16.6 

47 

.Q 

102 

21  33 

15  44  14-2 

4° 

116 

24  8 

15  19  48.6 

7253 

48  42 

43-54  12.7 

49 

122 

24  56 

15  18  54.0 

7259 

49  3° 

43  54  4-4 

7273 

52  2 

44  26  o.o 

158 

30  30 

34  4'  41-9 

7290 

53  53 

43  58  25.2 

5° 

e  T 

197 

37  20 

47  9  43-7 

7317 

57  47 

44  17  12.6 

5' 

198 

37  35 

47  35  o.i 

15,  16 

7320 

58  6 

38  9  9-6 

17,  18 

7336 

21   I   2 

38  7  16.8 

255 

49  3 

59  40  8.8 

19,  20 

7337 

I   3 

38  7  8  5 

52 

264 

50  23 

22  43  32.6 

7365 

6  18 

53  2  28.3 

290 

56  43 

53  31  6.2 

2  1 

7368 

7  28 

29  42  10.7 

53 

299 

57  28 

28  58  31.5 

22 

7398 

12  24 

38  51  33-6 

341 

l  3  25 

14  59  29.4 

7402 

"3  40 

43  24  29.1 

54 

379 

9  35 

67  8  26.9 

23 

7410 

7476 

15  to 
23  53 

23  19  6.6 
59  u  37-3 

55 
56 

394 
427 
431 

12  38 
19  21 
19  46 

63  59  9-5 
18  30  19.0 

18  34  35-5 

24 

7453 

20  33 

36  6  54.9 

444 

23   9 

67  44  58.1 

25 

7462 

22  8 

36  33  40.7 

57 

453 

24  38 

14  4'  7-2 

7469 
748o 

22  48 
M  40 

45  51  36.2 
45  58  37-1 

58 

502 
510 

33  2 
33  58 

39  55  39-1 
41  58  10.3 

7555 

36  28 

54  17  26.4 

572 

46  30 

18  39  55-5 

2 

7568 

38  25 

28  9  55-7 

59 
60 

573 

46  30 

i  8  40  3.8 

' 

7569 

38  25 

28  9  58.2 

583 

50  13 

63  59  49.4 

28 

7602 

43  i 

38  21  46.0 

611 

53  32 

63  46  13-7 

7681 

57  46 

44  2  1.2 

61 

657 

227 

25  19  58.5 

7705 

22   O  47 

44  23  33.4 

696 

9  4 

56  55  17.0 

(15.)  REDUCTION  OF  THE  LATITUDE-OBSERVATIONS — Continued. 
Observations  for  Latitude. — Station,  Cheyenne,  Wyoming  Territory. 


Date. 

No.  of 
star. 

Micrometer 
reading. 

Level. 

Remarks. 

Date. 

No.  of 
star. 

Micrometer 
reading. 

Level. 

Remarks. 

N. 

s. 

N. 

S. 

1872. 
Oct.  i 

7101 

T.   D. 

27  34-5 

15-0 

39-0 

1872. 
Oct.  I 

8279 

T.   D. 
ii  43.2 

22.5 

26.5 

7114 

5  45-5 

. 

. 

30"  late. 

8296 

23  44-5 

7.0 

42.0 

7I7-4 

24  53-8 

42.0 

12.  0 

8301 

27  57-5 

. 

8338 

13  69.6 

. 

7273 

8  17-5 

. 

. 

7317 

16  66.8 

17.0 

36.5 

158 

10  50.8 

19-5 

28.0 

7336 

26  00.9 

39-  o 

I6.5 

197 

33  69.0 

9.0 

39-5 

7337 

25  89.0 

•   • 

•   • 

198 

9  25.0 

•  • 

•   • 

7365 

2  24.0 

41.0 

12.  0 

255 

14  12.2 

25.0 

23.0 

7368 

31  4-0 

13-0 

4I.O 

264 

22  17.4 

8.0 

40.0 

7398 

18  64.0 

14.0 

4O.O 

Oct.  3 

6642 

16  40.6 

22.5 

27-5 

7402 

17  31.2 

50.0 

5-0 

6647 

17  45-0 

. 

. 

6662 

21  64.8 

36.0 

15.0 

7453 

6  24.2 

. 

7462 

32  8.0 

25.0 

30.0 

6722 

i  99.9 

27.0 

25.0 

7480 

15  58.8 

15.0 

40.0 

6754 

23  1-5 

34-0 

18.0 

6771 

24  27.4 

24.0 

28.0 

7555 

II  73.8 

35-0 

20.5 

7568 

23  40-7 

. 

,  . 

6940 

29  83.8 

31.0 

23.0 

6943 

23  20.  o 

28.0 

26.0 

7602 

ii  98.8 

20.  o 

34  5 

6976 

3  41-5 

•  • 

7681 

3i  57-9 

19.0 

38.0 

7101 

25  48.5 

28.5 

26.5 

7721 

33  24.0 

. 

. 

7174 

22  56.8 

35-0 

20.  o 

Doubtful. 

7731 

33  36.8 

38.5 

18.5 

7746 

5  42-2 

3-0 

54.0 

7317 

13  77-0 

31.0 

25.0 

7336 

23  20.  o 

7QI5 

14  90.0 

15.0 

32.0 

7337 

23  13.0 

32.0 

23.5 

7972 
7978 
7984 

18  72.0 
10  96.0 

22  92.5 

IO.O 

10.  0 

19.0 

40.0 
40.0 
30.0 

7398 
7402 

19  29.5 

18  3-7 

28.5 
23.0 

12.  0 

18.0 

7410 

24  5-8 

31.0 

IO.O 

8131 

38  88.0. 

19.0 

30.0 

7476 

9  71.0 

20.  o 

27.0 

8153 
8160 

26  31.5 
19  17.8 

IO.O 

20.  o 

39.0 
29.0 

7555 
7568 

ii  51.0 
23  68.9 

•7-0 
26.0 

17.0 
iS.o 

8195 

M  59-4 

17.0 

31.0 

7602 

23  33-3 

25.0 

18.0 

8223 

14  62.3 

13.0 

37-0 

7681 

14  69.0 

22.5 

21.  0 

8237 

20  15.5 

7705 

32  48.8 

33 


(15.)  REDUCTION  OF  THE  LATITUDE-OBSERVATIONS — Continued. 

Observations  for  Latitude. — Station,  Cheyenne,  Wyoming  Territory. 


Date. 

No.  of 
star. 

Micrometer 
reading. 

Level, 

Remarks. 

Date. 

>Jo  of 
star. 

Micrometer 
reading. 

Level. 

Remarks. 

M. 

S. 

N. 

S. 

1872. 

T.    D. 

1872. 

T.   D. 

Oct.  3 

7721 

28  77.6 

30.5 

Ji-5 

Oct.  8 

6722 

2  63.0 

15-0 

31-5 

7731 

28  98.0 

6754 

23  66.8 

37-0 

10.  0 

7746 

o  22.5 

15-5 

26.5 

6771 

24  89.5 

i6iO 

32.0 

7858 

31  32.6 

t    . 

6777 

20  93.0 

26.0 

20.5 

7879 

22  51  0 

3i-5 

12-5 

6830 

I?  67.5 

24.0 

23.0 

7880 

22  Ig.O 

7906 

3  15.0 

22.  0 

22.  0 

6924 

15  63-0 

33-0 

ii.  5 

6940 

30  14.5 

16.5 

29.0 

7972 

17  89.0 

21.  0 

23-5 

6943 

24  46.0 

36.0 

9-5 

7978 

10  42.8 

21.5 

23.0 

Jo8  late. 

6976 

3  75-8 

16.5 

29-5 

7984 

22  40.6 

. 

. 

7022 

ii  83.0 

13.0 

32.5 

8023 

18  94.0 

21.0 

24.0 

7041 

24  15-5 

35-5 

IO.O 

8037 

17  57-  S 

30.0 

14.0 

7101 

25  7i-o 

26.0 

21.  0 

8131 

30  35-5 

21.  0 

25.0 

7114 

3  69.0 

. 

. 

20"  late. 

8153 

17  39-o 

7174 

22  73.0 

32.5 

16.0 

8160 

10  64.5 

30.0 

15.0 

7198 

I  8l.8 

31-5 

16.5 

8195 

I?  o-5 

25.O 

20.  0 

7213 

30  95-5 

23-5 

25.0 

15'  late. 

8223 

16  61.0 

25.0 

2O.  O 

8237 

22  14.7 

•   . 

7290 

31  26.8 

38.0 

II.  O 

7317 

13  10.  o 

. 

8279 

13  66.  o 

22.  0 

24.0 

7336 

22  52.2 

. 

4    . 

8296 

26  9.7 

32.O 

13.0 

7337 

22  42.O 

20.5 

30.0 

8301 

30  37-0 

2O.  O 

26.0 

8338 

15  93-5 

32.0 

13.0 

7410 

25  25.0 

28.5 

23.0 

8359 

9  53-8 

•   • 

7476 

9  90.5 

28.5 

25.5 

68 

6  16.3 

34-0 

13-5 

7555 

II  6O.O 

33-0 

20.  o 

98 

16  67.4 

18.0 

2g.O 

7568 

23  71.0 

25.5 

27.5 

IO2 

40  94.0 

•   • 

Doubtful. 

. 

7602 

4  78.5 

22.  0 

31.0 

116 

17  49.8 

•   • 

•   • 

7681 

13  99-0 

37-0 

17.0 

122 

16  62.0 

. 

158 

II  94.8 

30.5 

16.0 

7721 

27  59-8 

23.5 

29.0 

I98 

10  25.0 

23.0 

24.0 

7731 

27  86.0 

•  • 

•  • 

7746 

-  o  97.0 

35-0 

18.0 

255 

»6  45-5 

25.0 

22.5 

264 

24  9L5 

27.O 

20.  o 

7758 

30  21.5 

32.0 

21.  0 

7879 

21  2O.  O 

290 

9  94.0 

28.O 

19.0 

7880 

21  52.5 

. 

. 

299 

24  20.  o 

27.0 

20.0 

7906 

2   8.0 

30.0 

21.  0 

34 


(15.)  REDUCTION  OF  THE  LATITUDE-OBSERVATIONS — Continued, 
Observations  for  Latitude. — Station,   Cheyenne,   Wyoming  Territory. 


Date, 

No.  of 
star. 

Micrometer 
reading. 

Level. 

Remarks. 

Date. 

No.  of 
star. 

Micrometer 
reading. 

Level. 

Remarks. 

N. 

S. 

N. 

S. 

1872. 

T.    D. 

1872. 

T.    D. 

Oct.  8 

7972 

17  34-9 

32.0 

22.0 

Oct.  8 

572 

25  8.6 

19.0 

35.o 

7978 

10  3.0 

573 

24  98.5 

42.0 

II.  0 

7984 

22  13.5 

31.0 

22.  0 

588 

I  11.3 

44.0 

9.0 

611 

14  36.0 

15-0 

38.0 

8023 

ig   2.O 

30.0 

23.0 

8037 

17  76.0 

31-0 

23.0 

20"  late. 

657 

10  36.8 

15.0 

38.0 

696 

10  21.5 

40.5 

12.  0 

8131 

2g  71.0 

21.  0 

34-5 

8153 

16  79.0 

36.O 

19.0 

Oct.  9 

6646 

16  50.4 

26.5 

25.0 

8160 

10  4.0 

23.0 

32.0 

6647 

17  57-0 

•  • 

•   • 

6662 

21  92.0 

23-5 

28.0 

8195 

'7  59-5 

38.0 

17.0 

8223 

17  6.0 

25.O 

30.0 

6722 

3  23-5 

26.0 

25.0 

8237 

22  63.8 

6754 

24  19.8 

29.0 

23.0 

6771 

25  50.5 

31.0 

21.  0 

8279 

12  13.5 

35-0 

21.  0 

8296 

24  63.  8 

32-5 

23.0 

6924 

15  42-5 

20.  o 

33-0 

8301 

2&  89.7 

34-0 

20.5 

6940 

29  91.0 

35-0 

18.0 

8338 

14  46.0 

29.0 

27-  C 

6943 

24  24.0 

33-5 

30.0 

8359 

8  8.5 

•   • 

•   • 

6976 

3  50.5 

35-0 

18.0 

68 

5  70.5 

27-5 

23.0 

7022 

»  35-7 

32.0 

19.0 

98 

16  18.0 

26.5 

24-5 

7041 

23  73-5 

23.5 

29.0 

116 

16  96.5 

t  , 

122 

15  10.0 

7101 

25  98.5 

•  • 

•   • 

7114 

43  4i-o 

27.0 

27.0 

Doubtful. 

158 

20   8.0 

26.0 

24.0 

7174 

23  6.0 

38.0 

16.0 

198 

18  39.0 

28.0 

23.0 

7198 

i  JO.  5 

28.0 

25.0 

7213 

36  3f-5 

30.5 

23.0 

255 

13  5i-5 

35-0 

17.0 

264 

21  93-5 

14.0 

37-o 

7253 

28  48.0 

•  • 

7259 

28  47.0 

30.0 

23.0 

Very  faint. 

290 

10  70.0 

32.5 

20.  o 

30"  late.  . 

7290 

24  36.0 

•  • 

299 

24  91.2 

27.0 

24-5 

7320 

17  42.8 

33-5 

21.  0 

7336 

15  58.0 

•  • 

•   • 

341 

15  35.o 

25.0 

26.0 

7337 

15  52.0 

379 

22  2O.5 

27.0 

24.0 

7453 

5  57-0 

25.0 

3O.O 

394 

5  21.0 

39-o 

12.  0 

7462 

3i  43-o 

•  • 

431 

23  34.0 

zo.o 

32.0 

7480 

20  93.5 

33-o 

22.  0 

502 

6  75.0 

29.0 

23.0 

7555 

II  24.5 

31.0 

24.0 

510 

27  18.0 

26.0 

26.5 

7568 

23  37-3 

34-0 

2IO. 

35 


(15.)  REDUCTION  OF  THE  LATITUDE-OBSERVATIONS — Continued. 

• 

Observations  for  Latitude. — Station,   Cheyenne,    Wyoming  Territory. 


Date. 

No.  of 
star. 

Micrometer 
reading. 

Level. 

Remarks. 

Date. 

No.  of 
star. 

Micrometer 
reading. 

Level. 

Remarks. 

N. 

S. 

N. 

S. 

1872. 

T.         D. 

1872. 

T.        D. 

Oct.   g 

7602 

4  17-0 

iS.o 

38.0 

Oct.  9 

394 

6  41-5 

37-0 

20.  o 

7681 

J3  52.0 

39-5 

15-5 

427 

20  43.4 

•      • 

•     . 

7705 

25   13.0 

37-0 

19.0 

Doubtful. 

431 

24   59-0 

24.0 

34-5 

7721 

28  16.2 

12.  0 

42.0 

444 

10  94.5 

36.0 

23.0 

7731 

28  40.5 

453 

21    72.0 

24.0 

33-5 

7746 

—   I  69.0 

50.0 

4-5 

502 

II    83.4 

23.5 

33-0 

7858 

3«  55.0 

23.O 

34-5 

510 

25     7.0 

4J.o 

17.0 

2O8  late. 

7879 

21   57.5 

. 

7880 

21  83.  o 

572 

25     7.8 

.      . 

7906 

2    50.0 

38.0 

17.0 

573 

24  97.0 

36.0 

23.0 

588 

I   13-3 

24.0 

34-5 

7972 

17  16.5 

38.5 

19.0 

611 

M  27.5 

. 

7978 

9  97.5 

. 

7984 

21    80.5 

26.O 

30.5 

I08  late. 

Oct.  10 

6497 

II  68.5 

24.0 

24.0 

8023 

19  34.0 

30.0 

25.5 

6579 

(    18  50.2 
(    18  40.8 

30.0 
32.0 

20.01 
2O.o! 

Double    star  ; 
doubtful. 

8037 

18     3.0 

38.0 

19.0 

6626 

34  9T-5 

24.0 

24.0 

8131 

29  86.5 

13.0 

45-0 

6642 

17  27.2 

.       . 

8153 

16  71.5 

50.0 

8.0 

6647 

18  36.0 

15.0 

38.0 

8160 

10    0.5 

13.0 

45-0 

6662 

22    56.0 

42.0 

IO.O 

8195 
8223 
8237 

16  70.0 
16  27.0 

21    84.0 

18.5 
38.0 

37-0 
19.0 

• 

6722 

6/54 
6771 

4  69.0 
25  68.0 
26  95.0 

26.0 

36.0 

28.0 
19.0 

8279 

10  96.0 

42.0 

16.0 

8296 
8301 

23  50.0 
27  67.5 

22.  0 

36.0 

30"  late. 

6777 
6830 

20  55.0 
17   17.8 

4-5 

50.0 

8338 

13  21.7 

46.0 

12.  0 

8359 

6  70.0 

22.  0 

36.0 

6924 

15  18.0 

22.  0 

34-o 

68 

9  24.0 

38.0 

21.  0 

6940 

29  61.5 

39-o 

17.0 

q8 

19  86.  o 

30.O 

28.0 

6943 

24  n.  o 

39-0 

17.0 

116 

20   54.9 

6976 

3  29.5 

22.0 

•34-5 

158 

79   24.7 

39.0 

18.0 

198 

17   46.8 

27.0 

31.0 

7022 

13  60.0 

26.O 

30.0 

7041 

25  82.0 

36-5 

20.  o 

255 

13     6.5 

37-0 

22.  0 

264 

21    65.0 

35-5 

23.0 

7101 

27  23.3 

26.O 

30.0 

341 

15    29.0 

30.0 

28.0 

7114 

5  33-5 

. 

.     . 

379 

22      8.0 

33-0 

25.0 

71/4 

24  38.0 

36.0 

21-5 

36 


(15.)  REDUCTION  OF  THE  LATITUDE-OBSERVATIONS — Continued. 

* 

Observations  for  Latitude. — Station,   Cheyenne,   Wyoming  Territory. 


Date. 

No.  of 
star. 

Micrometer 
reading. 

Level. 

Remarks. 

Date. 

No.  of 
star. 

Micrometer 
reading. 

Level. 

Remarks, 

N. 

S. 

N. 

S. 

1872. 

T.   D. 

1872. 

T.    D. 

Oct.  10 

7253 

27  88.8 

Oct.  10 

158 

19  7O.O 

18,0 

39-0 

7259 

28  4.0 

26.0 

31-5 

198 

17  97-5 

42.0 

16.0 

7273 

—  2  I6.O 

7290 

2-1  85.7 

. 

. 

255 

15  34-0 

26.0 

31.5 

7320 

17  91.0 

. 

. 

264 

23  97.0 

39-0 

iS.o 

7336 

16  12.5 

•   • 

290 

10  97.8 

30.0 

26.5 

7337 

16  3.0 

38.0 

20.  o 

299 

25  27.7 

37-0 

19.0 

7453 

6  23.2 

23.0 

36.0 

34i 

16  20.  o 

37-0 

19.0 

7462 

32  12.3 

.  . 

. 

379 

22  92.0 

24-5 

32.5 

7469 

13  49-° 

45-0 

13-5 

394 

8  24.0 

27-5 

29.0 

7480 

15  8.3 

42.0 

17.0 

427 

22  26.9 

33-0 

23.0 

7555 

12  48.5 

46.0 

12.5 

431 

26  38.5 

•  • 

7568 

24  66.5 

•  • 

444 

II  38.0 

37.0 

20.  o 

20s  late. 

7569 

26  SO.2 

20.5 

38.0 

453 

22  10.5 

23.0 

34.0 

15'  late. 

7602 

4  8r.o 

3'-5 

27-5 

502 

6  21.5 

30.0 

27.0 

7681 

13  96.5 

38.0 

21.5 

51° 

26  Gi.o 

32.0 

26.0 

15"  late. 

7858 

31  53-0 

26.0 

36.0 

572 

25  94.2 

.    . 

7879 

22  85.0 

573 

25  81.0 

II.  0 

47.0 

7880 

22  53-5 

•  • 

•  • 

588 

I  98.0 

7906 

3  4i-o 

46.0 

16.0 

611 

15  15-0 

48.0 

IO.O 

7972 

18  57.0 

32.5 

30.0 

« 

Oct.  1  1 

6491 

12  31.5 

30.0 

15.0 

7978 

it  25.0 

6579 

19   4.0 

25.0 

20.  0 

7984 

23  24.0 

33-o 

29.0 

6626 

35  63-0 

.   . 

8023 

19  50.0 

49.0 

13.0 

6642 

16  51.5 

35-0 

13.0 

8037 

18  24.0 

21.  0 

41.0 

6662 

21  71.8 

22.  0 

25.5 

8131 

29  95.0 

15.0 

48.5 

6722 

4  59-o 

29.0 

22.0 

8153 

16  91.0 

5LO 

12.0' 

6754 

25  87.0 

17.0 

34-0 

8160 

10  31.0 

21.0 

42.0 

6771 

26  91.7 

8279 

12  87.3 

29-5 

28.0 

6777 

23  22.  O 

16.0 

35-0 

8296 

25  42.5 

•   • 

•  • 

6830 

20   4.4 

30.5 

20.  o 

8301 

29  66.5 

37-5 

20.  o 

8338 

15  17.0 

28.0 

30.0 

6924 

15  40.0 

21.  0 

32.0 

8359 

8  77.0 

37-5 

20.  o 

6940 

29  68.  o 

25.0 

27.5 

6943 

24  6.0 

22.  0 

31.0 

68 

10  47.0 

27.O 

31.5 

6976 

3  51-5 

25.O 

27.5 

98 
116 

20  97.0 

21  74.4 

37-0 

21  .O 

6983 

27  61.0 

34-0 

17.0 

(30"  late;  doubt- 
(  ful. 

122 

20  89.5 

6998 

7  58.6 

9-5 

42.0 

Doubtful. 

37 

(15.)  REDUCTION  OF  THE  LATITUDE-OBSERVATIONS — Continued. 
Observations  for  Latitude— Station,   Cheyenne,    Wyoming  Territory, 


Date. 

No.  of 
star. 

Vlicromctcr 
reading. 

Level. 

Remarks. 

Date. 

No.  of 
star. 

Vlicrometer 
reading. 

Level. 

Remarks. 

N. 

s. 

N. 

S. 

1872. 

T.    D. 

1872. 

T.    D. 

Oct.  ii 

7022 

12   4.0 

16.0 

34.5 

Oct.  ii 

8279 

12  62.0 

37-0 

23.0 

7041 

24  43.0 

32.0 

19.5 

8296 

24  95-5 

15.0 

45-0 

8301 

29  10.  o 

35-0 

25.0 

8338 

14  95.0 

15.0 

45-0 

7101 

27  51-8 

8359 

8  55.0 

. 

7114 

5  60.5 

22.5 

30.0 

7174 

24  82.3 

25.0 

28.0 

68 

9  93-0 

39-o 

21.0 

7198 

o  81.5 

20.0 

33-5 

98 
116 

2O  20.0 
2O  96.6 

13-0 

48.0 

7213 

35  92.0 

3I.O 

22.0 

122 

2O  12.0 

•  • 

7253 

28  1.5 

•   • 

158 

19  95-0 

25.0 

35-5 

7259 

28  6.0 

• 

• 

198 

18  31.0 

32.0 

29.0 

7290 

23  86.8 

7320 

16  73.0 

20.0 

35-5 

7336 

15  98.0 

,    . 

255 

14  49.5 

38.0 

23.5 

7337 

15  87.0 

•  • 

264 

22  88.2 

19.0 

42.O 

7453 

7  33-0 

33-0 

23.0 

290 

II  38.8 

32.0 

28.5 

7462 

33  18.9 

14.0 

43-0 

299 

25  45-5 

23.0 

35-0 

7469 

14  84.0 

I4.O 

43-0 

7480 

16  41.6 

38.0 

18.0 

341 

15  92.0 

17.0 

44-0 

379 

22  95.0 

34-5 

26.0 

7555 

12  32.0 

42.O 

14.0 

7568 

24  20.6 

394 

7  21.0 

-50.0 

IO.O 

7569 

26  5.0 

7.0 

49.0 

427 

20  93.0 

3-0 

57.o 

431 

25   5-0 

•  .• 

7602 

14  44.0 

24.O 

32.0 

7681 

23  77-8 

26.O 

31.0 

444 

12   6.O 

39.0 

22.  0 

30"  late. 

7705 

2  94.0 

29.0 

28.0 

453 

22  46.0 

IO.O 

51.0 

15'  late. 

7731 

33  25.2 

I8.5 

38.0 

502 

6  99.5 

22.  0 

39-0 

7746 

4  67-9 

3I.O 

26.0 

510 

27  45-5 

34-0 

27-5 

15'  late. 

7972 

18  5-5 

28.5 

30.0 

7978 

10  53-5 

25.O 

33-0 

572 

26  86.0 

24.0 

38.5 

7984 

22  61.3 

. 

573 

26  80.0 

•   • 

588 

3  7-o 

3O.O 

32.0 

8023 

19  99.8 

3I.O 

27.0 

611 

16  28.6 

•   • 

8037 

IS  51.5 

22.  0 

36.0 

Oct.  12 

6491 

ii  98.5 

38.0 

15.0 

8131 

29  68.  o 

23.O 

37-0 

6579 

18  84.0 

12.  0 

42.0 

8153 

16  89.3 

28.0 

31-5 

6626 

35  39.0 

15.0 

41.0 

8160 

10   2.O 

25.0 

35-0 

8195 

17  27.5 

30.0 

30.0 

6642 

15  54.0 

37-0 

19.0 

8223 

16  91.8 

27.O 

34-0 

6647 

16  57.0 

8237 

22  48.8 

.   . 

.  . 

6662 

20  97.0 

14.0 

42.0 

i 

38 


(15.)  REDUCTION  OF  THE  LATITUDE-OBSERVATIONS — Continued. 
Observations  for  Latitude. — Station,  Cheyenne,   Wyoming  Territory. 


Level. 

Level 

Date. 

No.  of 
star. 

Micrometer 
reading. 

Remarks. 

Date. 

No.  of 
star. 

Micrometer 
reading. 

Remarks. 

N. 

S. 

N. 

S. 

1872. 

T.   D. 

1872. 

T.   D. 

Oct.  12 

6722 

4  56.3 

30.0 

28.0 

Oct.  12 

7858 

30  10.0 

29.0 

36.0 

6754 

25  88.5 

19.0 

39-0 

7879 

22  41.2 

. 

6771 

26  91.0 

31.0 

27.0 

7880 

22   6.2 

7906 

3  16.0 

33-0 

33-0 

6777 

21  86.3 

36.0 

22.0 

6830 

18  77.8 

16.0 

42.O 

7972 

17  77.0 

. 

. 

For  level  take 

7973 

10  28.0 

.   . 

.  . 

the  mean  of 

6924 

15  12-5 

37-5 

21-5 

7984 

22  30.O 

.  . 

preceding  and 

6940 

29  37.0 

16.0 

44.0 

following. 

6943 

23  12.2 

42.0 

I8.5 

8023 

20  15.5 

30.0 

iS.o 

6976 

3  14.0 

16.0 

44.0 

8037 

is  71-5 

13-5 

34-5 

6983 

29  58.8 

21.  0 

39-5 

30"  late. 

8131 

29  81.5 

31.0 

19.0 

6998 

9  67.0 

36.0 

25.0 

8153 

16  96.5 

16.0 

33-5 

8160 

10  12.5 

29.5 

19.5 

7022 

II  56.0 

28.0 

32.0 

7041 

24  9.0 

23.0 

38.0 

8195 

17  25.0 

30.0 

19.0 

8223 

16  88.3 

15.5 

34-0 

7101 

25  39-5 

.  . 

8237 

22  48.0 

. 

7H4 

3  53-5 

25.0 

37-0 

7174 

22  69.5 

34-0 

29.0 

8279 

12  77.0 

22.5 

26.5 

8296 

25  13-5 

. 

7198 

I  63.8 

22.5 

39-5 

8301 

29  30.5 

23.0 

26.0 

7213 

36  65.0 

35-0 

27.0 

8338 

14  99-5 

23-5 

26.5 

8359 

8  62.0 

23.0 

26.0 

7253 

33  67.8 

.    . 

7259 

33  86.0 

38.0 

24.0 

158 

20  7.8 

3L5 

19.0 

7273 

2  97-0 

. 

198 

18  53-5 

12.5 

38.0 

7290 

29  67.2 

255 

14  6.5 

29.0 

23.0 

7320 

22  47.0 

.  18.5 

44-5 

264 

22  32.5 

17.5 

33-5 

7336 

20  70.5 

• 

7337 

2O  58.0 

•  •  • 

•  • 

290 

II  61.5 

26.5 

23.0 

299 

25  6g.O 

20.  o 

29.0 

7453 

5  88.4 

24.0 

41.0 

7462 

3i  72.7 

. 

. 

34i 

14  97.0 

23.0 

27.0 

7469 

J3  30.5 

34-0 

31.0 

379 

21  90.5 

21.  0 

30.0 

7480 

14  95.6 

•  • 

394 

7  96.0 

26.5 

23-5 

427 

21  75-5 

7555 

12  2O.  O 

32.5 

32.5 

431 

25  84.0 

13.0 

37-0 

7568 

24  13-5 

. 

. 

7569 

25  98.0 

25.0 

40.0 

444 

ii  71.0 

25.0 

25-0 

453 

22  29.5 

ig.O 

31.0 

7602 

13  79.0 

29.0 

35-5 

502 

6  74.0 

17.0 

34-0 

7681 

22  28.5 

30.5 

36.0 

51° 

27  17.0 

36.0 

15.0 

7705 

2  34-5 

. 

572 

26  10.0 

ig.O 

32.0 

7721 

33  «.  4 

. 

573 

25  95.5 

. 

7731 

33  27.3 

38.5 

27.0 

588 

2  28.O 

25.0 

26.0 

7746 

4  64.0 

27.0 

39-o 

611 

15  45-5 

• 

• 

39 

(15.)  REDUCTION  OF  THE  LATITUDE-OBSERVATIONS' — Continued. 
Computations  for  Latitude  of  Cheyenne,  Wyoming  Territory. 


Date. 

Number 
of  pair. 

Half-sum  of  dec- 
linations. 

Corrections. 

Latitude. 

Mic.  and  ref. 

Level. 

Meridian. 

1872. 

„ 

/         // 

/, 

„ 

0             1                    U 

Oct.       i 

13 

40     57     50-5 

+     9     53-10 

+     1.65 

o.oo 

41     7     45-3 

12 

41       9     12.3 

i     27.24 

+     1.65 

o.oo 

46.6 

I? 

16     57.6 

-     9     14.28 

+     o  83 

o.oo 

44.1 

2O 

12      2Q.8 

—     4     46,  63 

+     0.82 

o.oo 

44-o 

21 

22      38.5 

-   14     55-10 

-t-     0.28 

o.oo 

43-7 

22 

8     20.7 

•     o    41.27 

+     5.20 

o.oo 

44-6 

25 

16     28.2 

-     8     32.57 

-     8.25 

o.oo 

47-4 

24 

3       5-3 

+     4     50.47 

-     8.25 

o.oo 

47-5 

26 

14      o.  i 

—     6       £.67 

-     8.80 

o.oo 

48.6 

3' 

22      35.8 

-   14     42.54 

—     8.50 

o.oo 

44.8 

30 

22      31.1 

-  14     35,77 

-     8.50 

o.oo 

46.7 

35 

6      0.8 

+     i     58.72 

—  12.92 

o.oo 

46.6 

36 

3     55-5 

+     4       1.18 

—    11.22 

o.oo 

45-5 

37 

10       7.8 

—      2      10.69   • 

—    II.  2O 

o.oo 

45.9 

39 

14     27.6 

—     6     30.52 

—    I  I  .  OO 

o.oo 

46.1 

40 

4     J5-3 

+     3     41-82 

—    10.50 

o.oo 

46.6 

41 

7     56.2 

+o      0.90 

-  10.45 

o.oo 

46.6 

42 

5       3-5 

+      2      52.84 

—  10.40 

o.oo 

45-9 

43 

14     10.  o 

-     6     13.36 

—  10.70 

o.oo 

45-9 

45 

15    10.4 

-     7     11.36 

—   11.70 

o.oo 

47-3 

46 

13      8.4 

—     5      9-62 

—  10.70 

o.oo 

48.1 

48 

13     32-6 

-     5     34-22 

—  10.70 

o.oo 

47-7 

49 

13       5-3 

-     5       5-n 

—  10.70 

o.oo 

49-5 

50 

55     58.3 

+    12        0.50 

—  10.70 

o.oo 

48.1 

51 

8     36.5 

—     o    39.10 

—  10.70 

o.oo 

46.7 

52 

12       5.4 

—     4     10.26 

-     8.25 

o.oo 

46.8 

Oct.       3 

3 

41       5      o.o 

+      2      42.92 

+     4-40 

o.oo 

4i     7    47-3 

4 

5     33-2 

+      2      10.47 

+     4-40 

0.00 

48.1 

5 

40     56     49-8 

+   10     53.18 

+     4-95 

o.oo 

47-9 

6 

41         8       22.  O 

-     o    39.13 

+     4.00 

o.oo 

46.9 

9 

21       22.7 

-    13      4L23 

+     2.80 

o.oo 

44-3 

9 

18     28.3 

—  10    46.02 

+     2.80 

o.oo 

45-1 

12 

9     12.5 

—     I     30.66 

+      2.OO 

+    O.IO 

43-9 

I? 

12      34.2 

-     4    '53.o8 

+      3.98 

o.oo 

45.1  • 

*) 

12      30.0 

•     4     50.91 

+      3.98 

0.00 

43-1 

22 

8       21.0 

—     o    39.10 

+      5.91 

o.oo 

47-8 

23 

15       40.9 

—     7     57-04 

+      3.85 

o.oo 

47-7 

26 

14         0.4 

—     6     18.52 

+     4-95 

o.oo 

46.8 

28 

12       13.3 

—     4     28.62 

+     2.33 

o.oo 

47-0 

31 

22       36.3 

-   M     53.71 

+      2.20 

o.oo 

44-8 

31 

22       30.8 

-   14     47.36 

+      2.  2O 

o.oo 

45-6 

32 

22      15.0 

-   M     35-71 

+      5.20 

o.oo 

44-5 

40 

(15.)  REDUCTION  OF  THE  LATITUDE-OBSERVATIONS — Continued. 
Computations  for  Latitude  of  Cheyenne,  Wyoming  Territory. 


Date. 

Number 
of  pair. 

Hall-sum  of  dec- 
linations. 

Corrections. 

Latitude. 

Mic.  and  ref. 

Level. 

Meridian. 

1872. 

«       i         a 

.         // 

„ 

» 

0           /                    II 

Oct.       3 

33 

41     17     45-9 

—  10       1.71 

+      5-20 

o.oo 

41     7     49-4 

34 

17     33-5 

—     9     51.76 

+    5.50 

o.oo 

47.2 

36 

3     55-9 

+     3     51-91 

—       I.IO 

o.oo 

46.7 

37 

10      8.4 

—      2      20.36 

—      I.IO 

o.oo 

46.9 

38 

7      0.3 

+     o    42.33 

+    3.57 

o.oo 

46.2 

39 

14    28.0 

-     6    42.95 

+     3.10 

o.oo 

48.2 

40 

4     15-7 

+     3     29.63 

+      2.OO 

o.oo 

47.3 

41 

7     56.6 

—     o     12.28 

+     2.75 

o.oo 

47-1 

42 

5       3-9 

+      2      39.81 

+     2.70 

o.oo 

46.4 

43 

14     10.4 

-     6     26.54 

+     4.67 

o.oo 

48.6 

44 

15     10.8 

-     7     28.64 

+     3-57 

o.oo 

45.7 

45 

18     28.8 

—  10    47.46 

+     3-6o 

o.oo 

44.9 

46 

13      g.o 

—     5     26.68 

+     2.60 

o.oo 

44.9 

47 

25     45-9 

—  18      0.87 

+     2.60 

o.oo 

47-6 

48 

13     33-1 

—     5     52.29 

+     2.60 

o.oo 

43.4 

49 

13       5-8 

—     5     25.00 

+     2.60 

o.oo 

43-4 

5° 

8     37.0 

-     o    52.77 

+     3-71 

o.oo 

47-9 

52 

12      5.8 

-     4     22.94 

+     2.60 

o.oo 

45-5 

53 

15      4-4 

—     7     23.20 

+     4-40 

o.oo 

45-6 

Oct.      8 

5 

40     56    49.9 

+  to    53.86 

•+•     2.88 

o.oo 

41     7     46.6 

6 

41         8      22.2 

—    o    38.13 

+     3-6o 

o.oo 

47-7 

7 

9     26,4 

-     i    41.17 

+     1.78 

o.oo 

47-0 

8 

15    12.7 

-     7    3i.i3 

+     2.47 

o.oo 

44.0 

9 

18     28.6 

-  10    43.42 

+     3.71 

o.oo 

48.9 

II 

I     22.3 

+     6     23.06 

+     1.65 

o.oo 

47-0 

12 

9     13.0 

—     i     32.62 

+     5-91 

o.oo 

46.3 

13 

40     57     51-3 

+     9     5L76 

+     6.  20 

o.oo 

49-3 

17 

41       3     II-  1 

+     4     31-83 

+     4.80 

o.oo 

47-7 

20 

12      30.7 

—     4    49.67 

+     4.80 

o.oo 

45-8 

23 

15      41-6 

-     7     56.92 

+     2.30 

o.oo 

47-0 

26 

14         1.2 

—     6     16.38 

+     3-00 

o.oo 

47-8 

30 

22      36.3 

—  14     56.04 

+     3-30 

o.oo 

43-6 

3' 

22      31.6 

—  14    47.90 

+     3-30 

o.oo 

47.0 

33 

17      34-5 

-     9     54-25 

+     5.50 

o.oo 

45-8 

34 

17      46.9 

-   10      4.35 

+     5-3° 

o.oo 

47-9 

36 

3     56.5 

+     3     47-47 

+     5-30 

o.oo 

49-3 

37 

10      9.5 

-     2     28.75 

+     5.20 

o.oo 

46.0 

33 

7      1.2 

+     o    39.16 

+     4.10 

o.oo 

44-5 

39 

14   29.1 

-     6     41-55 

+      I.OO 

o.oo 

48.5 

40 

4     16.9 

+     3     29.79 

-    0.33 

o.oo 

46.4 

4' 

7     57-8 

—     o     16.63 

+    4.40 

o.oo 

45-6 

42 

5       5-1 

+      2      36.74 

+   4.40 

o.oo 

46.2 

41 

(15.)  REDUCTION  OF  THE  LATITUDE-OBSERVATIONS — Continued. 
Computations  for  Latitude  of  Cheyenne,  Wyoming  Territory. 


Date. 

Number 
of  pair. 

Half-sum  of  dec- 
linations. 

Corrections. 

Latitude. 

Mic.  and  ref. 

Level. 

Meridian. 

1872. 

, 

i         a 

„ 

„ 

Of                       // 

Oct.       8 

43 

41     14     11.5 

•     f>     30.15 

+     6.50 

o.  oo 

41     7     47-8 

44 

14     42.0                7     59.49 

+     3-90 

0.00 

46.4 

45 

18     30.0          -   10    46.53 

+     3-10 

o.oo 

46.6 

46 

13       IO.2 

-     5     25.56 

+     1.  80 

o.oo 

46.4 

43 

13      34-4 

-     5     49.96 

H-      1.  80 

o.oo 

46.2 

49 

13         7-' 

-     5     23.10 

+      1.89 

0.00 

45-8 

5' 

8     38.2 

—     o     52.52 

+       2.OO 

o.oo 

47-7 

52 

12         7-0 

—     4     21.69 

-     1-37 

o.oo 

43-9 

53 

'5       5-2 

—     7     21.71 

+      4.10 

4-  o.  to 

47-7 

54 

4     13.3 

+     3     33-05 

+      0.55 

o.oo 

46.9 

55 

17       7.6 

-     9     23.48 

+      4-10 

o.oo 

48.2 

53 

57     »•  3 

+10     34.96 

4-      1.50 

o.oo 

47.8 

59 

20       5.7 

—    12       25.O8 

+      5.20 

0.00 

45-8 

60 

13     17.8 

—     5     30.22 

4-      2.  2O 

o.oo 

49.8 

61 

7     50.3 

-     o      4.75 

4-       1.50 

o.oo 

47-1 

Oct.      9 

4 

41       5     33-3 

+      2      15.20 

—      O.gO 

o.oo 

41     7     47-6 

5       ' 

40     56     49.9 

4-    «"     5L53 

4-      2.10 

o.oo 

43-5 

6 

41       8     22.2 

—     o    40  .  62 

4-    5.50 

o.oo 

47.1 

* 

8 

«5     12.8 

-     7     30.19 

+       I  .  IO 

o.oo 

43-7 

1 

9 

18     28.7     j     -   10    44.44 

4-     2.90 

o.oo 

47-2 

II 

I     22.4 

4-     6     24.71 

4      2.IO 

o.oo 

49-2 

14 

25     58.0 

-   'S     M.33 

4-     2.80 

o.oo 

46.5 

15 

2         1.3 

+     5     43-50 

+    5.50 

o.oo 

50.3 

16 

I     55-2 

4     5     43-18    ' 

4-     5-50 

o.oo 

43-9 

>9 

3       7-2 

+     4     34-75 

4-     5  •  5<? 

0.00 

47-5 

26 

14       1.4 

—     6     16.94 

4     5-50 

o.oo 

50.0 

32 

22       I6.I 

-    14     31-79 

4-      2.6o 

o.oo 

46.9 

33 

'7     34-7 

-     9     52.85 

+     2.6o 

o.oo 

44-5 

34 

17     47-1 

—   10       2.33 

4      2.6o 

o.oo 

47-4 

36 

3     56.8 

+     3     43.46 

4-     4.10 

o.oo 

44.4 

37 

10      9.7 

—       2       24  .  2  1 

4-     4.  10 

o.oo 

49.6 

38 

7       i-4 

+     o    40.71 

4      6.30 

o.oo 

48.4 

39 

14     29.3 

—     6     48  .  70 

4     2.8o 

o.oo 

43-4 

4' 

4     17-0 

+     3     28.55 

4      2.8o 

o.oo 

48.4 

42 

7     58.1 

—     o     13.36 

4     o.io 

o.oo 

44.9 

43 

5'      5-3 

+      2      39.75 

4-     o.io 

o.oo 

45.2 

44 

14     II.  8 

6     29.74 

4-     3-30 

o.oo 

45-4 

44 

15       12.2 

-     7     29.35 

4     5-50 

4    O.IO 

48.3 

45 

1  8     30.2 

—   10     51.90 

+      5-50 

o.oo 

43-8 

46 

13     10.4 

-     5     30.07 

4      5.30 

o.oo 

45.6 

48 

13     34-7 

5     51.48 

4      5-30 

o.oo 

48.5 

49 

13       7-4 

-     5     25-10 

4      5.30 

o.oo 

47.6 

42 

(15.)  REDUCTION  OF  THE  LATITUDE-OBSERVATIONS — Continued. 
Confutations  for  Latitude  of  Chcyi'iinc,  Wyoming  Territory. 


Date. 

Number 
of  pair. 

rlalf-sum  of  dec- 
linations. 

Corrections. 

Latitude. 

Mic.  and  vef. 

Level. 

Meridian. 

1872. 

, 

1                       IT 

,, 

.. 

0              1                       II 

Oct.       9 

5i 

41       3     38.5 

-     o     55.29 

+     4-67 

o.oo 

41      7     47-9 

52 

12       7.3 

•     4     26.82 

4-     7-6o 

o.oo 

4S.i 

54 

4     13.4 

+     3     31.03 

+     2.75 

o.oo 

47.2 

55 

M     59-5 

—     7     15-71 

+     i.  80 

o.oo 

45-6 

56 

'7       7-8 

9     24.88 

+     1-79 

o.oo 

44-7 

57 

I*     17-4 

-     5     34.89 

+       I.  CO 

0.00 

43-5 

60 

20       10.  I 

-    12      24.21 

4-     0.70 

o.oo 

46.6 

59 

13     iS.o 

5     32.40 

4-     0.70 

o.oo 

46.3 

Oct.     10 

I 

40     55     42.9 

+     12         1.99 

+     3-30 

o.oo 

41     7    48.2 

4 

41       5     33-2 

+       -2      10.54 

+     2.47 

o.oo 

46.2 

5 

40     56     49.9 

4-  10    52.37 

4-     4-io 

o.oo 

46.4 

6 

41         8      22.2 

-     o    39.47 

+     4.10 

o.oo 

46.8 

7 

9    26.4 

—       I      44.80 

4-     4.10 

o.oo 

45-7 

8 

15     12.8 

-     7     28.65 

4-      2.6o 

o.oo 

46.8 

9 

18     28.8 

—   10    46.93 

+      2.6O 

o.oo 

44-5 

it 

I     22.5 

+     6     19.80 

4-      3-40 

0.00 

45-7 

12 

9     13.2 

—     I     28.67 

+     2.86 

o.oo 

47-4 

13 

40     57     51-5 

+     9     5L92 

4-      2  .  (JO 

o.oo 

46.3 

15 

41       2       1.4 

+     5     41.22 

4-      3-40 

o.oo 

46.0 

16 

I     57-3 

+     5     45-94 

+      3-40 

o.oo 

46.6 

17 

3     n-3 

+     4     31   39 

4-      3-40 

o.oo 

46.1 

25 

16     29.6 

—     8     49.60 

+     5.10 

o.oo 

45-1 

26 

M       1-5 

-     6     18.55 

+    4.40 

o.oo 

47-3 

33 

'7     47-2 

—   10      4.19 

+    5.50 

o.oo 

48.5 

34 

17     34-8 

-     9     54.40 

4-    5-50 

o.oo 

45-9 

36 

3     57-5 

+     3     47.51 

+    1.  80 

o.oo 

46.8 

37 

10      9.8 

2     25.14 

4-    1.78 

o.oo 

46.4 

38 

7       1.6 

4-     o     39.16 

4-    4.40 

o.oo 

45-2 

39 

14     29.5 

-     6     45-53 

4-    1.50 

o.oo 

45-5 

40 

4     17-2 

+     3     25.13 

4-     4-9° 

o.oo 

47-2 

43 

14      12.  O 

—     6     30.12 

+     5-30 

o.oo 

47.2 

44 

15     12.  4 

-     7     30.50 

4-     4-30 

o.oo 

46.2 

45 

18     30.4 

—   lo    49.42 

+     4-30 

o.oo 

45-3 

46 

13     10.7 

-     5     26.34 

+      3-20 

0.00 

47.6 

48 

13     34-9 

5     50.40 

+     3.20 

o.oo 

47-7 

49 

13       7-6 

5     24.01 

+      3-20 

o.oo 

46.8 

50 

8     38.7 

—     o     53.61 

+     1.38 

o.oo 

46.5 

52 

12         7.5 

4     28.22 

+     4-  2O 

o.oo 

43-5 

53 

15         5-5 

7     24.41 

+     5-94 

o.oo 

47-0 

54 

4     13-4 

+     3     28.86 

+     2.75 

o.oo 

45.0 

55 

'4     59-7 

—     7     16.02 

+     2.33 

o.oo 

46.0 

56 

17       S.o 

-     9     23.95 

+     2.30 

o.oo 

46.4 

43 

(i5-)  REDUCTION  of  THE  LATITUDE-OBSERVATIONS — Continued. 
Computations  for  Latitude  of  Clwyenne,  Wyoming  Territory. 


Date. 

lumber 
of  p«ir. 

Half-sum  of  dec- 
linations. 

Corrections. 

Latitude. 

Mic.  and  ref. 

Level. 

Meridian. 

1872. 

0 

, 

:• 

u 

0            ,                       „ 

Oct.     10 

5? 

4'     13     i7-° 

-     5     33-33 

+          1.65 

o.oo 

41     7     45-9 

58 

40     57     ii.  5 

4-   10    33.88 

4-      1  .30 

o.oo 

46.7 

60 

41     20     10.5 

-   12     24-74 

4-         O.60 

0.00 

46.4 

59 

13      lS.2 

—     5     3'-3i 

4-     0.55 

o.oo 

47-4 

Oct.     ii 

i 

41       4     12.  I 

4-     3     29.01 

4-     5-50 

o.oo 

41     7    4^-6 

2 

40     55     42.9 

4-   ii     58.41 

+     5oO 

o.oo 

46.8 

3 

4'       5       0-0 

4-      2     41.71 

4-     5.08 

o.oo 

46.8 

5 

40     56     50.0 

+    II        1.38 

-     2.75 

o.oo 

48.6 

6 

41       «     22.3 

-    o    32.54 

-     2.70 

o.oo 

47-1 

7 

•9     26,4 

-       I      38.71 

-     2.33 

o.oo 

45-4 

3 

15     12.9 

—    7   23  .  a2 

-     3-74 

o.oo 

45-3 

9 

18     28.9 

-  10    38.54 

—     3.20 

o.oo 

47-2 

10 

40     57     30.0 

4-  10    22.34 

4-40 

0.00 

48.0 

ii 

41       i    22.3 

+     6     25.08 

-     i.«5 

•o.oo 

45-9 

12 

9     13-3 

—     I     23.76 

—     2.90 

o.oo 

46.6 

'3 

40     57     51.6 

4-     9     57.30 

-     2.88 

o.oo 

46.0 

M 

41     25     58.2 

—  18     n.o'6 

—     1.23 

o.oo 

45-9 

15 

2         1.5 

4-     5     50.74 

-     3-40 

o.oo 

48.8 

16 

I     57-4 

+     5     52.14 

-     3-40 

o.oo 

46.1 

18 

3     Ii.  4 

4-     4     36.26 

-     3-40 

o.oo 

44-3 

24 

3      6.8 

4-     4     42.39 

-     2.40 

o.oo 

40.8 

26 

14       1.7 

-     6       9.42 

—     3.80 

o.oo 

48.5 

31 

22      37.7 

—   14     48.05 

-     3.98 

o.oo 

45-7 

36 

IO      IO.O 

—      2      21.66 

—     2.6o 

o.oo 

45-7 

33 

7       i-7 

4-     o     46.09 

-     2.75 

o.oo 

45-0 

39 

14     29.8 

-     6    37.42 

—     4.80 

0.00 

47-6 

40 

4     17-4 

4-     3     33-6i 

-     3-70 

o.oo 

47-5 

41 

7    53.6 

-*-      0      II.I-O 

—      2.OO 

o.oo 

45-5 

42 

5       5-8 

+      2      42.02 

—      2.OO 

o.oo 

45-8 

43 

14     12.3 

-     6     23.37 

-      4-40 

0.00 

44-5 

44 

15      12.7 

-    7     19.78 

-      5-50 

o.oo 

47-4 

45 

i«     30.7 

—  10    38.69 

-"      5-50 

o.oo 

46-5 

46 

13     10.9 

-     5     I-9-I9 

•      4.67 

o.oo 

47-0 

48 

13     35-2 

-     5     43-oo 

•      4.60 

0.00 

47-6 

49 

13       7-9 

—     5     16-70 

—      4.60 

o.oo 

46.6 

51 

9     39-0 

-     o     50.97 

—      S2.OO 

O.OO 

46.0 

52 

12       7.7 

—     4     20.67 

-      2.33 

o.oo 

44-7 

53 

15       5-8 

-     7     17.20 

-      2.33 

o.oo 

46.3 

54 

4     13-4 

4-     3     38.49 

-"      5-08 

o.oo 

46.8 

55 

15        0.0 

7       6.42 

-      3-85 

o.oo 

49-7 

56 

17       8.2 

•     9     14-47 

3.80 

o.oo 

49-9 

57 

13   17.8 

5     23.24 

-      6.60 

o.oo 

48.0 

44 


(15.)    REDUCTION    OF    THE    LiATITUDE-OHSKRVATlONS Continued. 

Computations  for  Latitude  of  Cheyenne,  Wyoming  Territory. 


Date. 

Numbc 
of  pair 

Half-sum  of  dec 
linations. 

Corrections. 

Latitude. 

Mic.  and  ref. 

Level. 

Meridian 

1872. 

O              I                     It 

1                n 

a 

n 

0             , 

Oct.     n 

58 

40     57     1  1.  7 

+  10    35.90 

—     2.90 

o.oo 

41     7     44-7 

60 

41      20      IO.5 

-     12       19.39 

-     4-53 

0.00 

46.6 

59 

13      18.4 

-     5     26-77 

-     4-50 

o.oo 

47-1 

Oct.       12 

2 

40     55     42.9 

+    12         7.43 

—     0.90 

o.oo 

41     7     49-4 

3 

41       5      o.i 

+      2      48.76 

-     2.75 

o.oo 

46.  1 

4 

5     33-3 

+      2      16.75 

—     2.70 

o.oo 

47-3 

5 

40    56     50.0 

+11         2.69 

-     5.00 

o.oo 

47-7 

6 

41       8     22.3 

—     o     31.86 

4.40 

o.oo 

46.0 

7 

9     26.4 

-     I     35-  SS 

-     3-30 

o.oo 

47-2 

8 

15     I3.o 

-     7     22.73 

-     3.30 

0.00 

47-0 

g 

18     28.9 

—  10    39.69 

-     1-23 

o.oo 

48.0 

10 

,|0     57     30.0 

+   10     19.05 

—      2.  2O 

-t-    O.  10 

47.0 

ii 

41         I      22.6 

+     6     29.43 

-      5-40 

o.oo 

46.6 

12 

9     13.4 

—     I     23.92 

—      2.20 

0.00 

47-3 

>3 

40     57     51.7 

+     9     55-49 

—      2.OO 

o.oo 

45-2 

14 

41     25     58.3 

—   18       8.17 

-      2.47 

o.oo 

47.6 

'5 

2         1.6 

+     5     4S.34 

-      3-30 

o.oo 

46.6 

16 

I     57-5 

+     5     54-00 

-      3-30 

o.oo 

48.2 

17 

16     58.9 

—     9     i  i  .  20 

-      3-30 

0.00 

44-4 

19 

3       7-4 

+     4     42-58 

—      3-3° 

o.oo 

46.7 

24 

3       6-9 

+     4     41-96 

—      3.80 

o.oo 

45-1 

26 

14       1.8 

6     10.94 

•      4.40 

o.oo 

46.5 

28 

12       14.9 

—     4     24  .  02 

-      3-30 

o.oo 

47-6 

30 

22      33.2 

—   14     44.97 

—      O.IO 

o.oo 

48.1 

31 

22      37.9 

—   14     49-91 

—       O.IO 

o.oo 

47-9 

32 

22      16.6 

-   M     28.39 

—     1.90 

0.00 

46.3 

33 

17     47.6 

-     9     58.35 

—      2.OO 

o.oo 

47-2 

34 

17     35-2 

-     9     47-47 

—      2.OO 

o.oo 

45-7 

36 

3     57-8 

+     3     52.79 

—      2.  2O 

o.oo 

48.4 

37 

10      10.2 

—      2      2O.79 

—      2.  2O 

o.oo 

47-2 

38 

7         2.0 

+     o    44.75 

2.47 

o.oo 

44-3 

39 

14       2Q.g 

-     6     39-38 

—      1.50 

o.oo 

49.0 

40 

4      17-6 

+     3     32.59 

—      2.20 

o.oo 

48.0 

4' 

7     58.8 

—     o     11.41 

—      2.  IO 

o.oo 

45-3 

42 

5       6.0 

+      2      42.55 

—      2.  IO 

0.00 

46.5 

43 

U     12-5 

6     24.30 

-     i.  go 

o.oo 

46-3 

44 

15     12.9 

7     24.75 

—    1.70 

o.oo 

46.4 

45 

18     30.9 

—   10    42.89 

-    1.70 

o.oo 

46.3 

50 

9     39-2 

—     o    47.96 

-     3-57 

o.oo 

47-7 

52 

12       7.9 

4     16-72 

-     2.75 

o.oo 

48.4 

53 

15      6.0 

-     7     17-45 

-     1-54 

o.oo 

47-0 

54 

4     '3-4 

+     3     35-54 

-     3-57 

o.oo 

45-4 

55 

15        0.2 

-     7       7-77 

—     5.80 

o.oo 

45-6 

56 

17       8.4 

-     9     '5-73 

-     5-77 

o.oo 

46.9 

57 

13     18.0 

—     5     28.98 

-     3-30 

o.oo 

45-7 

58 

40     57     1  1.  8 

+   10    34.96 

+       I.  10 

o.oo 

47-9 

60 

41     20     10.8 

—   12     20.33 

-     3-85 

o.oo 

46.6 

45 

OBSERVATIONS  FOR  LATITUDE,  CHEYENNE,  WYOMING  TERRITORY. 

Recapitulation. 

For  October     i,  1872,   26  pairs  give  41    7  46.377 

3,             35           "  46.277 

8,  38  47-105 

9,  35  46.531 
10,              38  46.371 

"            n,              41            "  46.656 

"            12,              44           "  46.902 


Latitude,  north,        41    7  46.62 

Giving  the  first  series  half-weight  on  account  of  the  smaller  number  of  the  observa- 
tions and  the  less  favorable  condition  of  that  night's  work,  the  resulting  latitude,  and 
the  one  adopted  for  this  station,  is,  41°  7'  46". 62,  with  a  probable  error  of  ±o".o8. 
The  latitudes  were  originally  computed  by  Professor  William  A.  Rogers,  of  Cambridge, 
Mass.,  and  revised  by  Dr.  F.  Kampf. 

(16.)  RESULTING  ASTRONOMICAL  CO-ORDINATES. 

Taking  the  longitude  of  the  Salt  Lake  observatory  to  be  2b  19™  2  2".  74  west  of 
Washington  by  determination  of  the  United  States  Coast  Survey,  and  Washington 
to  be  5h  8m  1 2s.  1 2  west  of  Greenwich  according  to  the  report  of  Rear- Admiral  B.  F. 
Sands,  Superintendent  of  the  United  States  Naval  Observatory,  October  6,  1871, 
Cheyenne  is  in  longitude  west  from  Washington,  in  time,  ih  51™  3*.3O ;  in  arc, 
27°  45'  49".5o;  in  longitude  west  from  Greenwich,  in  time,  6h  59™  I5842;  in  arc, 
104°  48'  5i".3o;  in  latitude,  north,  41°  7'  46".62±o".o8. 

This  final  result  for  longitude  is  subject,  as  already  stated,  to  a  correction  for  the 
personal  equation  of  the  observers.  It  is  possible,  also,  that  the  longitude  of  Salt 
Lake  may  be  changed  when  the  observations  made  last  October  at  Detroit  and  Ogden 
by  the  United  States  Lake  Survey  and  your  expedition  respectively  are  computed. 
In  such  an  event,  of  course  the  longitude  of  Cheyenne  will  be  correspondingly  affected. 
Respectfully,  yours, 

JOHN  H.  CLARK. 

Lieut.  GEO.  M.  WHEELER, 

Corps  of  Engineers,  in  charge. 


R  E  PORT 


ON 


ASTRONOMICAL    OPERATIONS, 


CONDUCTED   DIJlilXO 


THE   FIELD-SEASON   OF   1873, 


THE  MAIN  OR  PRIMARY  FIELD-STATION,  COLORADO  SPRINGS,  COLORADO  TERRITORY, 


AND 

DEDUCTION    OF    RESULTS. 

BV 

Dr.     F.     KAMPF, 

CIVILIAN     ASTRONOMICAL     ASSISTANT. 


U.  S.  ENGINEER  OFFICE,  GEOGRAPHICAL  AND  GEOLOGICAL 

EXPLORATIONS  AND  SURVEYS  WEST  or  IOOTH  MERIDIAN, 

Washington,  D.  C.,  January  i,  1874. 

SIR:  There  is  presented  herewith  a  report  upon  the  astronomical  observations 
taken  by  myself,  and  the  party  under  my  charge,  at  Colorado  Springs,  Colorado 
Territory,  during  the  field-season  of  1873. 

GEOGRAPHICAL  POSITION  OF  STATION. 

Longitude  =  104°  49'  15". 10. 
Latitude     —    38°  49'  4i".67. 

Colorado  Springs  is  a  town  in  El  Paso  County,  Colorado  Territory.  It  has  been 
built  up  within  five  years,  and  has  nearly  fifteen  hundred  inhabitants,  and  the  place 
promises  to  become  one  of  considerable  importance.  During  the  summer-months  the 
hotels  (of  which  there  are  quite  a  large  number)  are  filled  with  invalids,  who  flock 
here  on  account  of  the  beautiful  scenery  and  the  salubrity  of  the  climate.  The  track 
of  the  Denver  and  Rio  Grande  Railway  passes  around  the  town  at  a  distance  from 
the  town-limits  of  about  four  thousand  feet. 

The  astronomical  point  is  situated  between  the  town  and  the  railroad,  about  six 
hundred  and  fifty  feet  distant  from  the  latter,  on  a  slight  eminence  near  the  freight- 
depot  of  the  Denver  and  Rio  Grande  Railroad.  The  observations  were  conducted  on 
a  pier  built  of  bricks,  which  was  replaced  two  months  later  by  a  solid  sandstone 
monument,  furnished  by  Mr.  S.  G.  Ward,  of  Pueblo. 

PHYSICAL-GEOGRAPHY  DETAILS. 

This  part  of  Colorado  is  not  well  watered,  but  the  land  where  irrigated  yields 
almost  in  every  instance  splendid  harvests. 

From  the  astronomical  point  there  is  a  clear  outlook  to  the  north,  south,  and  east. 
Looking  west,  prominent  peaks  and  foot-hills  of  the  Rocky  Mountain  range  are  seen 
running  north  and  south ;  Pike's  Peak,  immediately  west,  being  the  highest,  and  Chey- 
enne Mountain  the  highest  in  the  south-southwest.  At  the  foot  of  Cheyenne  Mount- 
ain there  is  a  creek,  the  waters  of  which  are  brought,  by  means  of  ditches,  to 
Colorado  Springs.  From  the  station  the  plains  rise  a  little  to  the  east,  at  the  horizon 
say  one  hundred  and  fifty  feet.  In  the  southeast  there  is  a  hill  about  four  hundred 
feet  high,  called  Washington  Mountain. 

Colorado  Springs  is  laid  out  regularly,  the  streets  running  east  and  west  and 
north  and  south ;  the  greatest  extension  is  from  north  to  south. 

Generally  speaking,  it  is  inadvisable  to  have  the  astronomical  station  near  the 
railroad-track;  but  in  this  case  the  trains  ran  only  during  the  day,  and  the  observations 
were  never  affected  by  the  vibrations  of  the  ground. 
7 


50 


METEOROLOGICAL  CONDITIONS. 

The  meteorological  observations  made  at  the  station  show  great  changes  in 
temperature  during  the  day.  I  have  been  told  by  several  old  residents  that  they 
never  experienced  a  summer  similar  to  that  of  1873.  The  rainy  period  of  the  summer 
is  looked  for  about  the  ist  of  July,  to  last  only  a  few  days.  This  year  it  was  noted 
that  from  July  28th  to  August  gth  there  was  no  day  without  rain,  accompanied  by 
thunder  and  lightning.  The  prevailing  winds  were  from  the  northeast  or  southeast, 
commencing  at  10  or  1 1  o'clock  a.  m.,  and  increasing  in  force  until  2  or  3  o'clock  p.  m. 
Then  clouds  came  up  from  the  southwest  or  west,  bringing  much  rain,  thunder,  and 
lightning.  It  was  generally  clear  again  by  1 2  p.  m.;  but  I  found  the  air  so  very  undu- 
lating, and  the  stars  on  that  account  so  faint,  that  I  was  sometimes  obliged  to  suspend  the 
observations.  It  is  probable  that  the  temperature  of  the  higher  regions  of  the  air  was 
affected  by  the  vicinity  of  the  mountains,  and  after  a  rain  changed  very  rapidly,  while 
the  lower  strata  remained  under  the  same  conditions. 

The  following  table  shows  the  general  direction  of  the  wind  at  7  a.  m.,  2  p.  m., 
and  9  p.  m.,  giving  the  mean  or  prevailing  direction  of  the  wind  for  three  hours  before 
and  three  hours  after  the  given  time ;  also  the  estimated  force  of  wind  for  the  same 
time.  The  last  column  gives  the  general  appearance  of  the  sky,  and  needs  no  further 
explanation.  It  shows  under  what  particularly  unfavorable  circumstances  the  obser- 
vations were  made: 


Date. 

Direction  of  wind. 

Estimated  force. 

Remarks. 

7a.m. 

2  p.m. 

gp.m. 

7a.m. 

2  p.m. 

9  p.m. 

1873- 

July        28 

S. 

NE. 

2 

i 

Cloudy  during  the  day  ;  clear  after  12  p.  m. 

29 

o 

E. 

SE. 

o 

2 

2 

Clear  ;  heavy  dew  in  the  night. 

3° 

N. 

SW. 

NW. 

I 

3 

2 

Heavy  wind  and  rain  in  the  afternoon. 

3' 

N. 

SE. 

N. 

I 

i 

I 

Rain  from  the  west  at  3  p.  m. 

August     I 

N. 

NE. 

NW. 

2 

4 

3 

Heavy  shower  in  the  afternoon  ;  storm  from  northeast  at  9  p.  m. 

2 

o 

NE. 

S. 

O 

5 

3 

Heavy  rain,  with  thunder  and  lightning,  at  3  p.  m. 

3 

S. 

NE. 

SE. 

2 

3 

2 

Cloudy  all  day. 

4 

o 

SE. 

N. 

0 

3 

I 

Cloudy  all  day;  rain  in  the  afternoon. 

5 

o 

SE. 

NW. 

O 

2 

I 

Clear  in  the  morning,  cloudy  in  the  afternoon. 

6 

NW. 

NW. 

S. 

I 

2 

I 

Cloudy  all  day  ;  rain  in  the  afternoon. 

7 

o 

SE. 

NW. 

0 

2 

I 

Cloudy  all  day  ;  storming  from  the  northwest  at  12  m. 

8 

N. 

N. 

SE. 

I 

4 

4 

Cloudy  all  day. 

9 

NW. 

SE. 

SE. 

I 

2 

I 

Cloudy  all  day;  rain  at  9.13  p.  m. 

10 

NE. 

• 

• 

I 

Clear. 

DESCRIPTION  OF  OBSERVATORY  AT  COLORADO  SPRINGS,  COLORADO  TERRITORY. 

As  soon  as  the  monument  was  built,  a  solid  framework,  8  by  10  feet,  was  con- 
structed, and  a  large  wall-tent  put  over  it.  There  was  an  opening  in  the  tent  for  the 
meridian-line ;  this  was  closed,  when  necessary,  by  a  fly.  During  heavy  winds  the 


51 

tent  \v;is  in  danger  of  being  blown  away,  ami  it  was  found  necessary  to  nail  the  fly 
to  the  framework,  while  the  tent  itself  was  fastened  to  the  stakes  by  strong  iron  wires. 
The  entrance  to  the  tent  was  from  the  west  side,  and  was  closed  by  ropes.  In  the 
northwest  corner  of  the  observatory  a,  large  box  was  used  for  a  table.  On  it  the  switch- 
board and  galvanic  battery  were  placed;  the  chronometer  being  also  placed  there  during 
the  observations.  The  connection  from  the  switch-board  to  the  Western  Union  Tele- 
graph office  was  made  by  a  line  600  feet  in  length,  supported  by  the  framework  of  the 
tent  and  one  telegraph-post  30  feet  in  height.  A  ground-wire  was  used  after  switching 
in  the  \Vesiern  Union  office  to  complete  the  circuit.  In  the  northeast  corner  of  the 
tent  the  chronograph  was  placed  upon  a  solid  and  insulated  framework.  Wires  for 
the  connection  of  the  chronometer  and  breaking-key  were  fastened  to  the  tent-frame. 
The  levels  were  also  set  on  an  insulated  post  in  the  southeast  corner  of  the  tent.  For 
chairs  I  used  two  small  boxes,  one  on  the  north  and  the  other  on  the  south  side  of  the 
monument.  In  arranging  and  constructing  the  observing-tent  1  was  assisted  by  C.  D. 
Gedney  and  Privates  J.  Meier  and  J.  ( 'lancy,  Battalion  of  Engineers.  They  also  took 
the  meteorological  observations.  Mr.  G.  T.  Ellison,  at  that  time  in  charge  of  the 
Western  Union  office,  kindly  assisted  in  sending  the  telegraphic  signals. 

DESCRIPTION  OF  INSTRUMENTS  USED. 

Observations  were  made  by  means  of  a,  combined  transit-instrument  number  28, 
made  by  Wiirdemann.  Its  focal  length  is  three  feet;  radius  of  aperture,  2f  inches; 
diameter  of  pivots,  i^  inches.  The  diagonal  eye-piece  used  had  a  magnifying-power  of 
40  diameters.  This  instrument  was  provided  with  two  finding-circles,  3^  inches  in 
diameter,  graduated  to  every  twenty  minutes,  and  reading  to  single  minutes  by  means 
of  the  vernier.  Another  circle  was  affixed  to  the  upper  part  of  the  tube,  divided  also 
also  to  twenty  minutes,  and  having  in  the  center  a  level  used  in  latitude-observations 
for  determining  the  change  in  the  inclination  of  the  horizontal  revolving-base.  Seven 
wires  were  placed  in  the  focus  for  time-observations,  besides  one  horizontal  wire  for 
latitude-observations.  The  equatorial  intervals  of  the  wires  from  mean  of  wires, 
damp  west,  upper  culmination,  were: 


I. 

II. 

III. 

IV. 

V. 

VI. 

VII. 

s. 

s. 

s. 

s. 

s. 

s. 

s. 

+  16.86 

+   12.75 

+     4-59 

+     0.17 

4.24 

-   12.77 

-   17-35 

One  revolution  of  the  micrometer-screw  moved  the  horizon tal-wire  6 2 ".12;  the 
the  value  of  one  division  of  the  striding-level,  which  was  used  at  every  station,  was 
o".75;  the  value  of  one  division  of  the  zenith-telescope  level  was  i".io.  The  chrono- 
graph used  was  similar  to  that  used  at  the  United  States  Naval  Observatory  invented 
by  Professor  William  Harkness;  the  barrel  being  8  inches  in  diameter  and  24  inches 
long,  and  makes  one  revolution  a  minute.  The  chronograph  worked  very  well  when 
it  was  cleaned  before  commencing  operations  at  a  new  station.  It  had  but  a  single 
pen,  which  recorded  clock-signals  and  those  made  by  the  observer. 


52 

For  time-observations  and  exchange,  sidereal  chronometer  No.  1491,  Negus, 
always  used.     The  galvanic  connections  were  made  by  means  of  a  switch-board,  the 
connections  of  which  are  given  in  the  following  diagram: 


Owonoqraph, 


JSreaJc  Circuit 


SWITCH  i. — Closed  when  receiving  from  connected  station  ;  Nos.  2  and  3  open. 
SWITCH  2. — Closed  when  sending  to  connected  station ;  Nos.  i  and  3  open. 
SWITCH  3. — Local ;  throws  sounder  into  local  circuit. 


53 

POINTS  WITH  WHICH  CONNECTIONS  WERE  MADE,  &c. 

Connection  was  made  with  Salt  Lake  City  on  the  nights  of  July  2gth  and  joth, 
and  August  2d,  5th,  and  6th.  Observations  for  time  were  made  at  Colorado  Springs 
on  the  nights  of  July  28th,  29th,  3oth,  and  3ist,  and  August  2d,  4th,  5th,  and  6th; 
at  Salt  Lake  on  the  nights  of  July  28th,  29th,  3oth,  and  3ist,  and  August  ist,  2d, 
5th,  and  6th. 

The  reductions  of  time-observations  for  Colorado  Springs  were  made  in  the  field 
by  the  astronomer,  and  also  those  made  at  Salt  Lake  after  returning  from  the  field. 
He  also  made  a  new  reading  of  the  signals  sent  and  received  from  both  stations. 

The  telegraph-line  between  Colorado  Springs  and  Salt  Lake  is  763  miles  long, 
and  divided  into  four  circuits.  The  signals  are  transmitted  from  one  circuit  to  another 
by  means  of  automatic  repeaters :  one  placed  at  Denver,  Colorado  Territory;  one  at 
Cheyenne,  Wyoming  Territory;  and  one  at  Corinne,  Utah:  the  length  of  the  line 
being  from  Colorado  Springs  to  Denver,  75  miles;  from  Denver  to  Cheyenne,  106 
miles;  from  Cheyenne  to  Corinne,  537  miles;  and  from  Corinne  to  Salt  Lake,  45  miles; 
using  at  every  station  sixty-five  Grove  cells. 

The  use  of  the  wires  was  always  freely  tendered  by  the  Western  Union  Tele- 
graph Company,  although  in  many  cases  they  were  needed  at  the  same  time  for  the 
transaction  of  the  regular  business  of  the  company. 

It  sometimes  occurs  when  two  lines  of  wires  are  fixed  to  the  same  poles  that, 
during  heavy  storms,  the  wires  are  brought  in  contact  by  oscillation,  which  was  over- 
come in  this  case  by  connecting  the  two  wires  at  an  intermediate  station,  Denver, 
Colorado,  upon  the  suggestion  of  Mr.  Woodward,  the  superintendent  at  that  point. 


54 


Tabulation,  of  Stars  used  for  Determination  of  Time  at  Colorado  Springs,  Colorado,  and 

Salt  Lake  City,  Utah. 


Colorado  Springs. 

S-.Ut  Lake  City. 

Name  of  star. 

Mean 
Sight  Ascension, 
1873.0. 

Declination. 

July- 

August— 

July— 

August  — 

28 

29 

30 

31 

2 

4 

5 

6 

28 

29 

30 

31 

I 

2 

5 

6 

f     Ursae  Minoris     .      .     . 

h.     m.       s. 
15     48    38.49 
52     19-90 
58       3-26 
16       5     58.86 
7     4I-48 
15     55-32 

22      16.58 
28      14.52 
30      10.03 
38      32-55 
43     '5-97 
51     39-41 
56     54.91 
59       3.66 
17       8     51.41 
18     36.92 
22      45.42 
27      33.78 
29        2.35 

37     41-83 
41     29.32 
18       i     19.72 
6     10.10 
14    44.25 

21      57-51 

28     17.70 
32     38.31 
40     23.95 
40    25.83 
45     23.45 
47     23.39 
50    27.42 
59     34-30 
19      2     12.61 
:o    12.  18 
12    31.21 
'7     58-93 
19      5-63 
23    25.35 
27     52-95 
30      3.46 
33      2.08 
40     13-29 
44     35-17 
48     35-44 
57     56-I3 
20     13       7.43 
20        2.98 

27     8.69 
30    32.31 
57      6.15 
45     48-10 
2t        I      12.36 
7     31-88 
15     32.83 

4-   78     II.O 
4-  27     14.8 
—  19     27-3 
4-  68   .    8.7 
-     3     21.9 
+  46     37.0 
4-  61     48.1 
4-  69       2.6 
—   10     18.4 

4-   39       9-9 
+   42     28.0 
4-     9     34-5 
4-33     45-2 
+   82     14.5 
+   14     32.2 
-   24       3-3 
4-   74     57-0 
+   52     23.8 
4   12     39.3 
+  68    49.0 
4-   27     47-8 
4-     9     33-0 
-  21       5.4 
-     2     55-8 

-   M     39-0 
—     8     19.8 
4-   38     40.0 
+   37     28.0 
+   37     28.0 
+  33     13-0 
—26     27.1 

+   75     17-0 
4-   13     40.6 
-   21     14.0 
-   19     10.5 
+  67     26.3 
4   73       7-1 
+     2     51.8 
4    24     23.0 
4-     7       5-0 
7     18.4 
4-  49     56.0 
4-   10     18.3 
4-     8     32.: 
4-69     56.6 
+     6     55.3 
4-   77     19-7 
-   18     37.6 
+    10     52.4 
4-72       6.1 
4-   44     49-6 
-     9     27.5 
+38       7.6 
4-   29     42.4 
4-62       2.9 

• 

* 
* 

* 

A 

* 
* 

* 
* 
# 
* 

# 
# 

* 

# 

•X- 

* 

* 
* 

* 
* 
* 
# 

* 

* 
* 
* 
* 
* 
* 

* 

« 
* 
* 

* 

* 

* 
* 

* 

* 
* 

* 
* 
# 

* 
* 

* 
* 
* 

* 

* 

* 

* 
* 

* 

* 
* 
* 

* 

* 

# 
* 

fl 
* 

• 

* 

* 
* 

* 
* 

/31    Scorpii                               . 

Groombridge  2320   . 

A    Draconis   ..... 

f     Ophiuchi  

* 

* 

# 

* 
* 

* 
* 

* 
* 

# 
* 

Groombridge  2376   . 

d    Herculis   
c     Ursae  Minoris 

* 

* 

* 

* 
* 
* 

# 
* 
• 
* 
# 

* 
* 
# 

# 
* 
* 

1  '»'    Herculis    

# 

* 
* 
# 

* 

* 
* 

* 

* 
» 

* 

M 

* 
* 

* 

* 
* 

* 

* 
* 
* 

• 
* 

-s 
* 

• 

* 

* 

* 
* 

# 
* 
* 

« 

* 

* 
# 

• 
• 
• 
* 
* 

* 

# 
* 
* 

* 

* 
* 
* 

* 
* 

* 
* 

•::• 

# 
# 
*• 
* 

Groombridge  966,  L.  C. 

C  l    Lvrae    . 

£3  Lvrze 

a     Vulpeculae     .... 
fi     Aquilae      

T    Capricorni      .... 

Groombridge  3241    . 

'     Cvani  . 

55 


COLORADO  SPRINGS,  COLORADO  TERRITORY,  July  28,  1873. 


Name  of  Star. 

Clamp. 

T. 

m 

rtA 

<:C 

T' 

AR. 

AT 

h.    m.       s. 

s. 

s. 

s. 

h.    m.      s. 

h.  m.      s. 

m.      s. 

K     Ophiuchi 

W. 

17     I   50.23 

—  0.05 

+  o-54 

+  0.60 

17     I   51.32 

16  51  41.23 

—  10  10.  eg 

£      Ursae  Minoris   . 

9  20.45 

-  0.48 

-  5-69 

-1-   4-37 

9  18.65 

59     8.70 

9-95 

a'    Herculis. 

19     2.47 

-  o.n   .+  0.47 

+   0.61 

19     3-44 

17     8  53.30 

10.14 

/}    Draconis 

37  45-68 

—    O.II 

-  0.42 

+  0.97 

37  46.12 

27  35.92 

IO.2O 

ft    Herculis. 

E. 

51  41.99 

—  0.04 

+  0.24 

—   0.67 

51  41.52 

41  31.30 

10.22 

—  IO   IO.  I2O 

Normal  Equations, 

o  =  —0.42  +  5.00  fit  —    4.36(1—    q.g&c 

0  =  —  7.12  —  4.  36*  +26.72  a  +  37.79  c                          a  =  +  IMI5 

o  =  —  6.06  —  9.98  tit  +  37.790  +  6i.ooc                         c  =  —  o'.sgo 

COLORADO  SPRINGS,  COLORADO  TERRITORY,  July  29,  1873. 

Name  of  Star. 

Clamp. 

T 

IB 

«A 

rC 

T' 

AR. 

AT 

h.  m.      s. 

s. 

s. 

s. 

h.  m.      s. 

h.  m.      s. 

m.      s. 

I     Aqirilse    . 

W. 

18  38  31.00 

+    O.OI 

+  0.87 

-  0.04 

18  38  -31.84 

18  28  20.00 

—  10  11.84 

<z     Lyra  .... 

42  52.09 

—  0.03 

•     o.oo 

—  0.05 

42  52.01 

32  40.48 

ii  •  53 

/3    Lyrae  .... 

• 

55  37-27 

—  0.05 

+    0.  12 

—  0.04 

55  37.30 

45  25.61 

11.69 

a     Sagittarii 

• 

57  36.68 

—    0.02 

+   1.18 

-  0.04 

57  37-;8o 

47  26.06 

11.74 

50  Draconis 

. 

19    o  46.14 

—  o.  19 

-2.74 

—  0.14 

19    o  43.07 

50  31.28 

11.79 

f     Aquilae   . 

E. 

9  47.83 

—    O.I2 

+  0.51 

+  0.04 

9  48.26 

59  36.49 

11.77 

rf     Draconis 

22   47.70 

—    0.32 

-  1.46 

+  0.09 

22   46.01 

19  12  34.24 

11.77 

T     Draconis       .      . 

• 

28   16.86 

-    0.51 

-    2.27 

+    O.  12 

28  14.20 

18     2.52 

11.68 

K     Aquilae    . 

. 

40  16.97 

—    0.13 

+  0.84 

-t-    0.04 

40  17.72 

30     5.88 

11.84 

y     Aquilse    . 

50  26.80 

—  0.16 

+  0.57 

4-   0.04 

50  27.25 

40  15.56 

11.69 

Mean,  excluding  a  Lvrse,  for  19''  4™  local  sidereal  time      .... 

—  IO  II.76iOfl.OI4 

Normal  Equations. 

o=+    2.70+  lo.ood/  —    2.030  +    0.571: 

o=  —  15.73—    2.03<W  +  I3.33<z  —    i.03<r                       <z  =  +iB.i7o 

°  =  —   0.31+    0.57*-    1.030  +  42.74^                       <-=+o".036 

56 


COLORADO  SPRINGS,  COLORADO  TERRITORY,  July  30,  1873. 


Name  of  Star. 

Clamp. 

T 

<5B 

flA 

^C 

T' 

AR. 

AT 

h.  m.      s. 

s. 

s. 

s. 

h.  m.      s. 

h.  m.      s. 

m.     s. 

r     Draconis    . 

E. 

19  28  14.82 

o.oo 

4-  0.41 

—  0.14 

19  28  15.09 

19  18     2.48 

—  IO   12.  6l 

K     Aquilae  . 

40  18.63 

—  o.or 

-  0.15 

—  0.04 

40  18.43 

30     5  .  88 

12.55 

y    Aquilae  . 

. 

50  28.19 

—  0.03 

—   O.IO 

—  0.04 

50  28.02 

40  15.56 

12.46 

a     Aquilae  . 

54  50.05 

—    O.O2 

—    O.II 

—  0.04 

54  4Q.?8 

44  37.48 

12.40 

T     Aquilse  . 

W. 

20    8  10.93 

4-  0.09 

—    0.12 

4-  0.04 

20    8  10.94 

57  58.44 

12.50 

K    Cephei  .     . 

23  23.07 

+  0.50 

4-  O.6o 

4-  0.18 

23  24.35 

20    13    11.85 

12.50 

T    Capricorn!  . 

. 

30  18.38 

4-  0.09 

—  0.19 

4-  0.04 

30  18.32 

20      5.63 

12.69 

E     Delphini     . 

. 

37  23-53 

+  0.14 

—   O.IO 

4-  0.04 

37  23.61 

27    10.98 

12.63 

Groom.  3241    . 

• 

40  47.38 

-1-  0.44 

4-  0.38 

4-  0.13 

40  48.33 

30  35.80 

12.53 

—  IO   1  2  .  540  ±  O".O2O 

Normal  Equations. 

o=  —  1.32  4-  g.oorf/  —    2.g3«—    4.39^ 

0=  +4.34  —  2.93d<+  17.  33  a  +  II.  831:                        a  =  —  o".2i3 

o=  +4.77  —  4.39  it+  II.  83  a  +  49.  51  IT                       c  =  —  o".040 

COLORADO  SPRINGS,  COLORADO  TERRITORY,  July  31,  1873. 

Name  of  Star. 

Clamp. 

T 

IB 

«A 

cC 

T' 

AR. 

AT 

h.  m.      s. 

s. 

s. 

s. 

h.  m.      s. 

h.  m.      s. 

m.      s. 

?     Ursas  Minoris   . 

W. 

15  59     1.30 

-  0.83 

—  6.50 

+  0.31 

15  58  54.28 

15  48  40.97 

—  10  13.31 

c     Coronas  . 

. 

16     2  34.39 

—  0.24 

+  0.48 

4-  0.07 

16      2    34.70 

52  21.55 

13.15 

/5l  Scorpii    . 

8  16.76 

—    O.I2 

+  1-93 

4-  0.07 

8  18.64 

58     4-95 

13.69 

Groom.  2320 

. 

16  17.56 

-    0.51 

-  2.74 

4-  0.17 

16  14.48 

16    6    0.86 

13.62 

<5    Ophiuchi 

. 

17  55-21 

—  0.16 

4-  1.40 

4-  0.06 

17  56.51 

7  43-12 

13-39 

r     Herculis. 

. 

26  11.26 

-  0.31 

—  0.42 

4-  o.og 

26  10.62 

15  57.00 

13.62 

A    Draconis 

E. 

38  33-69 

-  0.51 

-  2-95 

—  0.18 

38  30.05 

28  16.74 

13.31 

e     Ursae  Minoris  . 

17     9  33-8i 

—    1.02 

—  10.67 

—  0.47 

17     9  21.65 

59     8-25 

13.40 

a1    Herculis. 

. 

19    6.30 

—    O.29 

4-  0.83 

—  0.07 

19    6.82 

17     8  53.27 

13-55 

44  Ophiuchi 

. 

28  51.09 

—  o.  14 

4-  2.05 

—  0.07 

28  52.93 

18  39.14 

13-79 

/?    Draconis 

. 

37  50.74 

-  0.45 

-  0.80 

—    O.IO 

37  49-39 

27  35-86 

13-53 

a     Ophiuchi 

• 

39  17.32 

—  0.23 

+  0.94 

—  0.06 

39  17.97 

29    4.30 

13-67 

—  IO  !3-53±os.03 

Normal  Equations. 

o  =  —  0.23  +  I2.oo6t—    7.820'+      2.79<r 

o=  —  3.15—    7.  82  6t  +  42.100'  —    23.31*-                     «'  =  4-  o'.ogs 

0  =  4-8.664-    2.79<5/  —  23.310'  -t-  105.31  c                     c   =  —  o'.o63 

Adopted  azimuth,  4-  2'.eo  ;  azimuth  of  the  instrument,  -r2'.og5. 

57 


COLORADO  SPRINGS,  COLORADO  TERRITORY,  July  31,  1873. 


Name  of  Star. 

Clamp. 

T 

SB 

sA 

<rC 

T' 

AR. 

AT 

h.  m.      s. 

s. 

s. 

s. 

h.  m.      s. 

h.  m.      s. 

m.      s. 

a    Sagittarii  . 

E. 

18  57  37.84 

—  o.n 

+  1.96 

—  0.07 

18  57  39.62 

18  47  26.06 

—  10  13.56 

f    Aquilae     . 

. 

19    9  49-73 

—   O.2O 

+  0.86 

—  0.07 

19    9  50.32 

59  36-48 

13.84 

(/    Sagittarii  . 

20  27.04 

—   O.I2 

+  1-75 

—  0.07 

20  28.60 

19  10  14.75 

13-85 

<!     Draconis  . 

. 

22    50.87 

—   0.48 

-  2.43 

-  0.17 

22  47-79 

12  34.19 

13.60 

r     Draconis  . 

W. 

28   2O.22 

-    0.46 

-  3-79 

+   O.22 

28  16.19 

18     2.45 

13-74 

•y    Aquilae 

5O   28.22 

—  o.og 

+  0.95 

+    0.07 

50  29.15 

40  15.56 

13-59 

a     Aquilae 

. 

54  50.10 

—  0.05 

+  0.99 

+    O.O6 

54  51.10 

44  37-48 

13.62 

e     Draconis  . 

58  55.16 

—    0.10 

-  2.94 

+  0.19 

58  52.31 

48  38-7° 

13.61 

—  10  i3.66±o".O2 

Normal  Equations. 

o  =  —  0.54  +  S.ooSt—    i.36«'  —    2.571: 

o=  +  1.  2O  —  1.36*+  10.160'  4-    g.39<r                        a'  =  —  O8.O54 

0  =  4-2.70—2.57*+    9.39^'  +  32.75<r                        <r  =  —  o".o64 

Adopted  azimuth,  +28.oo;  azimuth  of  the  instrument,  +Is.g46. 

COLORADO  SPRINGS,  COLORADO  TERRITORY,  August  2,  1873. 

Name  of  Star. 

Clamp. 

T 

f>B 

«A 

cC 

T' 

AR. 

AT 

h.  m,      s. 

s. 

s. 

s. 

h.  m.      s. 

h.  m.      s. 

m.      s. 

c     Coronas     . 

E. 

16     2  36.71 

+    O.O2 

+  0.25 

+  0.08 

16      2   37.O6 

15  52  21.37 

—  10  15.69 

/?'   Scorpii      .     . 

. 

8  19.57 

+    O.OI 

+  0.99 

+  0.07 

8  20.64 

58     4.92 

15.72 

6    Ophiuchi  .     . 

. 

17  57-94 

O.OO 

+  0.72 

+  0.07 

17  58.73 

16     7  43.10 

15-63 

T     Herculis   . 

26  12.94 

+   0.04 

—    0.22 

+    O.IO 

26  12.86 

15   56.96 

15.90 

T]    Draconis  . 

32  34-83 

—   O.OI 

—   O.8g 

+  0.14 

32  34.07 

22    18.43 

15-64 

A    Draconis  . 

. 

38  .33-66 

+    0.12 

-    1-52 

+  0.19 

38  32-45 

28    16.63 

15.82 

>1     Herculis    . 

W. 

48  49-93 

+    O.Og 

—    O.OI 

—  0.08 

48  49.93 

38   34-26 

15-67 

K     Ophiuchi  . 

17     i  56-35 

+    0.04 

+  0.54 

—  0.07 

17     I  56.86 

51   41.18 

15-68 

E     Ursse  Minoris 

9  29.37 

+    0.27 

-  5-47 

—  0.50 

9  23-67 

59     7-93 

15-74 

a1    Herculis   . 

. 

19     8.68 

+   0.05 

+  o-45 

—  0.07 

19    9.  II 

17     8  53.25 

15.86 

44  Ophiuchi  . 

28  53-97 

+    0.03 

+  1.05 

—  0.07 

28  54.98 

18  39.13 

15-85 

Mean  for  i6h  35"*  local  sidereal  time     . 

—  10  15  .  745  ±ofl,o2o 

Normal  Equations. 

O  =  +O.Q3  +  Il.OOf!/  —     3.82«'  —     2.2&C 

o=—  4.66  —    3.82<!/+3i.37«'  +  31.64^                       a'  =  4-o'.o75 

o=—  7.72  —    2.2d6t+  31.640'  +  77-74<r                         c  =  +o".o67 

Adopted  azimuth,  +  i«.oo;  azimuth  of  the  instrument,  +i".O75. 

COLORADO    SPRINGS,   COLORADO  ^TERRITORY,   August  4,    1873. 


Name  of  Star. 

Clamp 

T. 

<5B 

aA 

cC 

T' 

AR. 

AT 

h.  m.      s. 

s. 

s. 

s. 

h.  m.     s. 

h.  m.     s. 

m.     s. 

d    Sagittarii  . 

E. 

19  20  31.64 

—  0.04 

-t-  1.27 

—  0.04 

19  20  32.83 

19  10  14.76 

—  10  18.07 

<5     Draconis  . 

. 

22  54.29 

—  0.23 

-  1-77 

—  0.09 

22  52.20 

12  34.10 

18.10 

r     Draconis  . 

28  23.53 

-  0.34 

-  2.73 

—   O.I2 

28  20.34 

28    2.33 

18.01 

y    Aquilae     . 

W. 

50  32-95 

—  0.04 

+  0.69 

+   0.04 

50  33-64 

40  15.57 

18.07 

a    Aquilae     .     . 

. 

54  54-92 

—    O.O2 

+  0.72 

+    0.03 

54  55.65 

44  37-49 

18.16 

e     Draconis  . 

58  58.68 

O.OO 

—  2.13 

+    O.IO 

58  56.65 

48  38.63 

18.02 

r     Aquilae 

• 

20    8  15.76 

+    0.04 

+  0.76 

+  0.04 

20    8  16.60 

57  58.46 

18.14 

Mean  for  ig11  44™  local  sidereal  time     

—  10  18,081  io^oi* 

r 

Normal  Equations. 

o=  +0.16  +  7.  ocxtt—  2.  260'  +   i.isc 

o=  —0.93  —  2.  26(W+  7.200'—   6.i6c                      <z'  =  +  oMio 

0  =  +  1.58  +  1.15  it  —  6.16  «'  +  31.46  c                       c=  —  o".034 

Adopted  azimuth,  +  i'.3O  ;  azimuth  of  the  instrument,  +  i".4io. 

COLORADO    SPRINGS,   COLORADO    TERRITORY,   August  5,   1873. 

Name  of  Star. 

Clamp. 

T 

tB 

oA 

cC 

T' 

AR. 

AT 

h.  m.     s. 

s. 

9. 

s. 

h.  m.     s. 

h.  m.     s. 

m.      s. 

/31  Scorpii      .     . 

E. 

16    8  23.72 

+   O.O2 

-  0.53 

+  0.03 

16     8  23.24 

15  58    4-89 

—  10  18.35 

6    Ophiuchi  .     . 

. 

18     1.56 

+    O.O2 

-  0.39 

+  0.03 

18     1.22 

16    7  43.07 

18.15 

T    Herculis  . 

. 

26  15.02 

+   0.03 

+   O.I2 

+  0.05 

26  15.22 

15  56.90 

18.32 

A   Draconis  . 

. 

38  33-74 

—    0.03 

+   0.82 

+  0.09 

38  34-62 

28  16.47 

18.15 

f    Ophiuchi  .     . 

. 

40  30.40 

—   O.OI 

-    0.45 

+  0.03 

40  29.97 

30  11.78 

18.19 

i)    Herculis  . 

W. 

48  52.39 

-1-   O.Og 

+   O.OI 

—  0.04 

48  52.45 

38  34.21 

4        18.24 

K    Ophiuchi  . 

. 

17    i  59-6i 

+    O.O6 

—  0.29 

—  0.03 

17     I  59-35 

Si  4i-i5 

18.20 

e     Ursae  Minoris 

9  22.66 

-H  0.32 

+•  2.96 

—  0.23 

9  25-71 

59     7-48 

18.23 

a1   Herculis  .     . 

• 

19  11.54 

-1-  0.07 

—  0.24 

—  0.03 

19  11.34 

17     8  53.22 

18.12 

—  IO   l8.22O±O".OI7 

Normal  Equations. 

o  =  —  0.02  +  g.ooctt  —    3.430'—    s.sgr 

o  =  +  1.32  —  3.43  tt+  30.260'  +  35.00.:                       a'  =  —  o«.o8l 

o  =  +0.57  —  3.39  <tt+  35.000'  +  71.85  c                         f=  +oB.03l 

Adopted  azimuth,  —  o'.jo;  azimuth  of  the  instrument,  —  o'.sSi. 

59 


COLORADO    SPRINGS,    COLORADO    TERRITORY,  August  6,  1873. 


Name  of  Star. 

Clamp. 

T 

* 

aA 

cC 

T' 

AR. 

AT 

h.  m.     s. 

s. 

s. 

s. 

h.  m.      s. 

h.  m.     s. 

m.      s. 

y     A(|iii!:c     .     . 

E. 

19  50  35.06 

—  0.03 

—  0.08 

4-  0.07 

19  50  35.02 

19  40  15.57 

-io  19.45 

a     Aquilae      . 

. 

54  56.72 

—    O.O2 

—  o.oS 

+  0.07 

54  56.69 

44  37-49 

19.20 

K     Cephei 

W. 

20  23  30.70 

+    O.II 

4-  0.45 

—  0.30 

20  23  30.96 

13   11.66 

19.30 

e     Delphini  .     . 

37  30.42 

+   O.O2 

—  0.08 

—  0.07 

37  30.29 

27  n.  01 

19.28 

Groom.  3241  . 

. 

40  54.84 

+    O.II 

+  0.28 

—    O.2I 

40  55-02 

30  35.72 

19.30 

a     Cygni  ..     ,      . 

47  27.87 

4-  0.04 

+  0.02 

—    O.Og 

47  27:84 

37     8.49 

19-35 

H    Aquarii    . 

56  10.27 

—  0.06 

—    0.12 

—    0.07 

56    IO.O2 

45  50.65 

19.37 

61   Cygni  . 

E. 

21  ii  33.94 

+    O.02 

O.OO 

4-  0.08 

21    II    34.04 

21       I    14.86 

19.18 

C     Cygni.     .     . 

17  53-39 

+    0.03 

—    0.03 

4-  0.07 

17    53.46 

7  34-14 

19.32 

a    Cephei.     .     . 

25  54.58 

+    0.07 

4-  0.13 

4-  0.14 

25  54.92 

15  35-56 

19.36 

Mean  for  zoh  28™  local  sidereal  tii 

-10  I9.3i1±c,.oi7 

Normal  Equations. 

o=  —  2.07  +  lo.ood/  —  3.183—  4.67* 
0=4-1.57—  3.  i8<i/+ 13.313  + 17.08*- 
o  =  +  o.59—  4-67  it  +  17.083  +  44. g6c 


<  =  -o-.i59 
•  =  +  o".o67 


SALT    LAKE    CITY,    UTAH    TERRITORY,    July  28,    1873. 


Name  of  Star. 

Clamp. 

T 

,B 

3A 

cC 

T' 

AR. 

AT 

h.  m.      s. 

s. 

s. 

s. 

h.  m.      s. 

h.  m.      s. 

h.  m.  s. 

i     Ophiuchi  . 

W. 

8     o  38.60 

—  0.04 

-  1.13 

—  0.06 

8    o  37.37 

16     7  43.15 

+  8  7  5.78 

r     Herculis  . 

8  51.22 

—  0.07 

4-  0.24 

—  0.09 

8  51.30 

15  57-07 

5-77 

T]     Draconis  . 

. 

15  11.68 

—    O.IO 

4-   1.23 

-  0.13 

15  12.68 

22  18.62 

5-94 

f     Ophiuchi  . 

. 

23     7-53 

—  0.03 

-  1.28 

—  0.07 

23    6.15 

30  11.98 

5.83 

17     Herculis   . 

. 

31  28.72 

—  0.06 

—  0.06 

—  0.08 

31  28.52 

38  34.70 

6.18 

Groom.  2376  . 

E. 

36  11.71 

—  0.07 

—  0.06 

+   0.09 

36  11.67 

43  17-80 

6.13 

K     Ophiuchi  . 

44  36.08 

—  0.04 

—  0.84 

+   0.06 

44  35-26 

51  4L23 

5-97 

d    Herculis  . 

. 

49  51-00 

—  0.05 

—  0.24 

+  0.08 

49  50.79 

56  56.75 

5.96 

a1    Herculis  . 

. 

9     i  48.06 

—  0.04 

-  0.75 

+  0.06 

9     i  47-33 

17     8  53.30 

5-97 

Groom.  966    . 

• 

'5  44-37 

—  0.07 

—   5.62 

—  0.25 

15  38.43 

22   44.46 

6.03 

Mean  for  I7h  om  local  sidereal  tim 

4-87  5.956±o«.oi2 

Normal  Equations. 

O=+     O.I5  +  ll.OOit+    6.O83—     5.I2<T  tit  =  —  i 

o=—  19.16+   6.o8<i/+  14.920  —  ii.o2c  3  =  +  i'.6i9 

o=  +  is.o6—    5.i2ctt—  ii. 023  +  31. 57<-  c  =  —  o'.o64 

These  equations  were  used  when  v  Serpentiswas  observed  ;  the  observation  is  excluded  for  the  final 
result  on  account  of  the  doubtful  position  of  the  star. 


60 


SALT  LAKE  CITY,  UTAH  TERRITORY,  July  29,  1873. 


Name  of  Star. 

Clamp. 

T 

tB 

«A 

cC 

T' 

AR. 

AT 

h.  m,     s. 

s. 

s. 

s. 

h.  m.      s. 

h.  m.     s. 

h.  m.  s. 

C    Aquilae 

W. 

10  52  32.11 

—  0.07 

—  0.62 

—  0.26 

10  52  31.16 

18  59  36.49 

+87  5.33 

d    Sagittarii  . 

. 

ii     3  10.94 

—  0.04 

-  1.42 

—  0.27 

ii     3    9.21 

10  14.75 

5-54 

K    Aquilas      .     . 

. 

23     1.82 

—  0.05 

-  US 

—  0.26 

23    0.36 

30     5.88 

5-52 

X    Aquiltc 

. 

33  n.  16 

—   0.06 

—  0.80 

—  0.26 

33  10.04 

40  15.56 

5-52 

a    Aquilse 

• 

37  33-04 

—  0.06 

-  0.83 

—  0.25 

37  31-90 

44  37.48 

5.58 

Mean  for  ig11  om  local  sidereal  time  

+8?     ^.J78 

Normal  Equations. 

o=  +  1.13  +  5.00(5;+  3.  20  a                            «=  —  i'.530 

o=  +0.94  +  3.  20  <5/-i-2.  190            e  (adopted)  =  4-o".255 

SALT  LAKE  CITY,  UTAH  TERRITORY,  July  30,  1873. 

Name  of  Star. 

Clamp. 

T 

£B 

oA 

cC 

T' 

AR. 

AT 

h.  m.     s. 

s. 

s. 

s. 

h.  m.     s. 

h.  m.     s. 

h.  m.  s. 

T     Herculis  . 

E. 

8    8  51.15 

—  0.07 

4-  0.27 

+  0.35 

8     8  51.70 

16  15  57-03 

+87  5.33 

TI    Draconis  . 

. 

15  11.14 

—  0.06 

+  1.37 

4-  0.50 

15  12.95 

22  18.55 

5.60 

f    Ophiuchi  .     . 

i 

23    7.63 

—   O.O2 

-  1-43 

4-  0.24 

23     6.42 

30  11.84 

5-42 

17     Herculis  . 

. 

31  28.70 

—   O.OI 

—  0.07 

4-  0.31 

31  28.93 

38  34-32 

5-39 

Groom.  2376  . 

. 

37  12-03 

—   O.OI 

—  0.07 

4-  0.32 

37  12.27 

43  17.78 

5-51 

K     Ophiuchi  . 

W. 

43  36.83 

4-  o.oi 

-  0.94 

—  0.24 

43  35-66 

51  41-21 

5-55 

d    Herculis  .     . 

. 

49  5i.8i 

4-  o.oi 

-  0.27 

—  0.29 

49  5I-26 

56  56.73 

5.47 

ol   Herculis  . 

. 

9     i  48.92 

o.oo 

—  0.83 

—  0.24 

9     i  47-85 

17     8  53.28 

5-43 

Groom.  966    . 

15  44.09 

4-  0.08 

—  6.27 

4-  0.92 

15  38.82 

22   44.31 

5-49 

4-87  5.466±o'.oi8 

Normal  Equations. 

o=4-    2.18  +  g.oo<5/4-   4.560+    7.86f                        <5/=4-og.466 

0=4-  20.03  +  4.56(5/4-  13.760  4-  n.26<r                           a  =  —  I".8O5 

0=4-    9.63  4-7.86(5/4-  ii.  260  4-  29.  51*                          £=4-o'.239 

61 


SALT    LAKE    CITY,    UTAH    TERRITORY,    July  30,    1873. 


Name  of  Star. 

Clamp. 

T 

*B 

<zA 

<-c 

T' 

AR. 

AT 

h.  .m.     s. 

s. 

s. 

s. 

•h.  m.     s. 

h.  m.     s. 

h.  m.  s. 

f    Lyras    .      .      . 

W. 

10  33  21.07 

—  0.14 

—   0.12 

—  0.26 

10  33  20.55 

18  40  26.11 

+87  5.56 

f2   Lyrae    . 

. 

33  22.95 

—  o.  14 

—    O.I2 

—  0.27 

33  22.42 

40  27.99 

5-57 

/?    Lyrae   .     .     . 

. 

38  20.74 

-  0.13 

—    0.28 

—  0.25 

38  20.08 

45  25.60 

5-52 

50  Draconis  . 

. 

43  23-17 

—  0.32 

+    3.89 

—  0.83 

43  25.91 

50  31.23 

5-32 

C     Aquilae 

. 

52  32.22 

—  0.08 

—    0.82 

—   O.22 

52  31.10 

59  36.49 

5-39 

a     Sagittarii  . 

E. 

ii     3  10.79 

—  0.03 

—    1.  60 

+    0.22 

ii     3     9-38 

19  10  14.75 

5-37 

<5    Draconis  . 

5  26.49 

—    O.I2 

+    2.04 

+    0.55 

5  28.96 

12  34.22 

5.26 

T     Draconis  . 

. 

ii  53-29 

—    0.32 

+    3." 

+    0.72 

n  56.80 

18     2.49 

5-69 

K     Aquilae 

• 

23     1-79 

—    O.II 

-    I-3I 

+    O.2I 

23    0.58 

30    5.88 

5-30 

+    87^    dd^  +  OB  O^  i 

*•*     /     j  •  HtJ  -*-  v'  *WJ  J 

Normal  Equations. 

o=  —    8.65  +  9.00*—    2.8ofl  —   0.57^               <i<=+o".443 

o  =  +  21.01  —  2.80*+  11.39^  +   0.30^               a  =  —  i'.744 

o  =  —    8.05—0.57*+    o.  30^  +  41.  g8f                  <r=+o".2lo 

SALT    LAKE    CITY,    UTAH    TERRITORY,     July  31,    1873. 

Name  of  Star. 

Clamp. 

T 

fB 

aA. 

<rC 

T' 

AR. 

AT 

h.  m.     s. 

s. 

s. 

S. 

h.  m.      s. 

h.  m.      s. 

h.  m.  s. 

T     Herculis   . 

E. 

8     8  50.88 

—    O.O2 

+  0.16 

+  0.56 

8     8  51.58 

16  15  57-03 

+87  5-45 

7     Draconis  .     . 

. 

15  10.90 

—   O.02 

+    I.T.6 

+  0.81 

15  12.85 

22    18.52 

5.67 

{     Ophiuchi  . 

. 

23     7-05 

—   O.OI 

—    1.20 

+  0.39 

23     6.23 

30  11.83 

5.6o 

7     Herculis  . 

. 

31.28.13 

—   O.O3 

—  0.06 

+  0.49 

3i  28.53 

38  34.31 

5.78 

Groom.  2376  . 

. 

37  11.42 

—    O.O3 

—  0.06 

+  0.52 

37  11-85 

43  17-76 

5-91 

K     Ophiuchi  . 

W. 

44  36.33 

+    0.34 

-  0-79 

—  0.38 

44  35-50 

51  41.20 

5.70 

d    Herculis  . 

49  5i.i8 

+  0.55 

—  0.16 

—  0.46 

49  Si-" 

56  56-71 

5.60 

+  87  5.673±o".O37 

Normal  Equations. 

o  =  —    5.69  +  7.  ooi^  +  o.  630  +    5.04^               <5/=+o».67 

o  =  +    2.50  +  0.63*+  1.  5ia—    1.63.:                 a  =  —  i".520 

o  =  —  n.  01  +  5.04*—  1.630+  13.63  c                c=  +o'.38l 

62 


SALT  LAKE  CITY,  UTAH  TERRITORY,  Augtist  i,  1873. 


Name  of  Star. 

Clamp. 

T 

t>B 

aA 

cC 

T' 

AR. 

AT 

- 

h    m.     s. 

s. 

s. 

s. 

h.  m.      s. 

h.  m.      s. 

h.  m.   s. 

<5    Ophiuchi  . 

W. 

8    o  38.81 

+  0.06 

-  1.19 

—    0.22 

8     o  37.46 

16     7  43.11 

+87  5.65 

T     Herculis  . 

. 

8  51.32 

+  0.14 

+  0.26 

—   O.32 

8  51.40 

15  56.98 

5.58 

ri    Draconis  . 

15  11.63 

+   O.2O 

+  1.30 

-  0.47 

15   12.66 

22    18.47 

5.8i 

f    Ophiuchi  .     . 

. 

23     7.60 

+    0.07 

-  1.35 

—  0.23 

23     6.09 

3O    11.82 

5-73 

ri     Herculis   . 

E. 

31  28.39 

—    0.03 

—  0.07 

+  0.29 

31   28.58 

38    34.29 

5-71 

Groom.  2376  . 

. 

36  11.82 

—    O.O3 

—  0.07 

+  0.30 

36    12.  O2 

43  17-74 

5-72 

K    Ophiuchi  . 

44  36.19 

—    O.O2 

—  0.89 

+   O.22 

44  35-50 

51  4I.I9 

5.69 

d    Herculis  . 

49  50.99 

—   O.O5 

—  0.26 

+    0.27 

49  50.95 

56  56.70 

5-75 

a     Herculis  . 

. 

9     I  48.02 

O.OO 

—  0.78 

+    0.23 

9     I  47.47 

17     8  53-26 

5-79 

Groom.  966    . 

15  45-11 

+  0.43 

—    6.02 

—    0.85 

15  38.67 

22   44-51 

5.84 

+  87  5.727±o'.oi6 

Normal  Equations. 

O  =  +  12.58  +  IO.OO<M  +    5.260  —    3-56<:                         it  =  —  o'.283 

0=4-28.40+    5.26<)/  +  14.25*2  —  11.761:                         a——  I1.  706 

o  =  —  27.83  —    3.s6(5/—  11.760  +  30.  sir                        c  =  +o'.222 

SALT  LAKE  CITY,  UTAH  TERRITORY,  August  2,  1873. 

Name  of  Star. 

Clamp. 

T. 

/>B 

oA 

.  cC 

T' 

AR. 

AT 

h.  m.      s. 

s. 

s. 

s. 

h.  m.     s. 

h.  m.      s. 

h.  m,   s. 

Brad.  3313     . 

W. 

10  14  56.60 

—  0.07 

-  1-55 

—  0.27 

10  14  54.71 

18  21  59.87 

+87  5.16 

I     Aquilae     . 

. 

21  16.58 

—  0.08 

-  1-39 

—  0.27 

21    14.84 

28  20.00 

5.16 

a    Lyrae   . 

. 

25    35-81 

—  0.13 

—  0.09 

-  0.34 

25    35.25 

32  40.44 

5-19 

fl   Lyrae    .     .     . 

. 

33  21.40 

—  0.08 

—  0.13 

—  0.32 

33  20.87 

40  26.08 

5.21 

f»  Lyrae    .     .     . 

. 

33  23.28 

—  0.06 

—  0.13 

—  0.32 

33  22.77 

40  27.96 

5-19 

0    Lyre    .     .-,.,.. 

. 

38  20.93 

—  0.04 

—  0.29 

—  0.32 

38  20.28 

45  25.58 

5.30 

50  Draconis  . 

. 

43  23.21 

—  0.03 

+  4-°8 

—  1.04 

43  26.22 

50  31.08 

4.86 

v    Sagittarii  . 

E. 

55  H-66 

—    0.02 

-  1-74 

+  0.27 

55  10.17 

19      2    15.21 

5-04 

6    Draconis  .     . 

. 

ii     5  26.07 

—   O.II 

+  2.14 

+  0.69 

n     5  28.79 

12    34.14 

5-35 

6    Aquilx 

. 

12    3.89 

—    O.OI 

-  1.13 

+  0.26 

12      3.OI 

19      7.94 

4-93 

a    Vulpeculas 

. 

16  22.63 

O.OO 

-  0.57 

+  0.29 

16  22.35 

23   27-55 

5.20 

p     Aquilas      . 

. 

21  51.14 

+    0.03 

—    1.02 

+  0.26 

21    5O.4I 

27    55-23 

4.82 

*     Aquilae 

. 

23     1.96 

+    0.05 

-  1-37 

+  0.27 

23    0.91 

30      5.89 

4.98 

6    Cygni  .     .     . 

• 

26  58.51 

+    0.15 

+  0.46 

+  0.41 

26  59.53 

33     4-44 

4.91 

+  87  5  .  093  ±  o*.O3O 

Normal  Equations. 

0=;+    1.86  +  14.  ooSt+  1.500—    1.63*-                       (J/=+o'.og3 

0=  +16.36+    i.5od/  +  9.98a  +    6.59*                        a  =  —  i«.828 

o  =  +    2.03—    1.63^  +  6.590  +  38.46^                        c  =  +  o».264 

63 


SALT  LAKE  CITY,  UTAH  TERRITORY,  August  5,  1873. 


Name  of  Star. 

Clamp, 

T 

6B 

«A 

eC 

T' 

AR. 

AT 

h.  m.     s. 

s. 

s. 

s. 

h.  m.     s. 

h.  m.     s. 

h.  m.  s. 

{    Ophiuchi  . 

W. 

8  23     9.01 

—  0.03 

-  1.30 

—  0.28 

8  23     7.40 

16  30  11.79 

+87  4.39 

1    Herculis  . 

. 

31  30.15 

—  0.05 

—  0.06 

—  0.36 

31  29.68 

38  34.21 

4-53 

Groom.  2376  . 

. 

36  13.61 

—  0.04 

—  0.06 

—  0.37 

36  13-14 

43  17-66 

4.58 

K     Ophiuchi  . 

. 

44  37.98 

—    O.O2 

—  0.85 

—  0.28 

44  36.83 

51  41.15 

4.32 

d    Herculis   . 

49  52.96 

—   O.O2 

—  0.25 

-  0.33 

49  52.36 

56  56.64 

4.28 

ol    Herculis   . 

E. 

9     *  49-56 

—    0.05 

—  0.76 

+  0.28 

9     I  49.03 

17     8  53.23 

4.20 

Groom.  966    . 

. 

15  47-o6 

-    0.15 

-  5.67 

—  1.  06 

15  40.18 

22  44.86 

4.68 

a     Ophiuchi  . 

. 

23     0.44 

—    O.II 

—  0.79 

+  0.28 

22  59.82 

29   4.25 

4-43 

a    Draconis  . 

. 

30  36.93 

-  0.39 

+  2.14 

+  0.76 

30  39.44 

37  44-29 

4-85 

fi    Herculis  . 

34  27.09 

—  0.18 

-  0.41 

+  0.31 

34  26.81 

41  3L42 

4.61 

+  87  4.461  ±o*.O4i 

Normal  Equations. 

o=  +   4.45  +  io.oo<5/+   4.900—    3.77*                     <5/=+o".46i 

0=4-27.37+    4.go<!/+  15.143—  17.34;                        a  =  —  l§.643 

°=  -35-79-    3-77<"-i7-34a  +  32.ox><r                        '  =  +  o'.275 

SALT  LAKE  CITY,  UTAH  TERRITORY,  August  5,  1873. 

Name  of  Star. 

Clamp. 

T 

PB 

«A 

eC 

T' 

AR. 

AT 

h.  m.     s. 

s. 

s. 

s. 

h.  m.     s. 

h.  m.     s. 

h.  m.  s. 

Brad.  2313 

E. 

10  14  56.77 

—    O.2O 

-1.28 

+  0.25 

10  14  55.54 

IS    21    59.86 

+87  4.32 

a    Lyrse    .     .     . 

. 

25  35.62 

—    O.32 

—  0.08 

+  0.32 

25  35-54 

32   40.41 

4.87 

{'    Lyrae  .     .     . 

. 

33  21.46 

—    O.25 

—   O.IO 

+  0.31 

33  21.42 

4O  26.O5 

4-63 

C2    Lyra  .     .     . 

. 

33  23.26 

—    O.25 

—    O.II 

+  0.31 

33  23.21 

40  27.93 

4-71 

50  Draconis  . 

. 

43  23-26 

—    0.78 

+  3-35 

+  0.97 

43  26.80 

50  30.93 

4-13 

?     Aquilx 

W. 

52  33-23 

—    O.II 

—  0.70 

—  0.25 

52  32.17 

59  36.47 

4-30 

d    Sagittarii  . 

. 

II     3  12.05 

—  0.05 

-  1.38 

—  0.26 

il     3  10.36 

19  10  14.76 

4-40 

S     Draconis  .     . 

. 

5  28.76 

—  0.23 

+  1.76 

—  0.64 

5  29.65 

12    34.07 

4.42 

T     Draconis  . 

. 

II   56-15 

—  0.29 

+  2.76 

—  0.85 

"  57-77 

18     2.28 

4-51 

a     Vulpeculae 

. 

16  23.87 

—   O.II 

—  0.46 

—  0.27 

16  23.03 

23  27.54 

4-51 

/i     Aquilse 

. 

20  52.23 

—  0.08 

—  0.84 

—  0.25 

20  51.06 

27    55-23 

4.17 

K     Aquilae 

23   2.97 

—  0.07 

—  H3 

-  0.25 

23     1.52 

30   5.89 

4-37 

B     Cygni  .      .      . 

• 

31    0.49 

-  0.15 

+  0.37 

—  0.38 

31     0.33 

38   4.41 

4.08 

Mean  for  igb  om  local  sidereal  time  

+  87  4.4i8±o".O3c 

Normal  Equations. 

o=—   6.50+13.00^—    1.440—    4.04^                      (J/=+o".4i8 

o  =  +  19.41  —    i.  44<?/+  12.550  —    1.04*                        a  =  —  i".5O3 

o=  —  11.75—    4.O4<!/—    i.  040  +  47.  87*:                        £  =  +o'.247 

64 


SALT    LAKE    CITY,   UTAH    TERRITORY,   August   6,    1873. 


Name  of  Star. 

Clamp. 

T 

<5B 

«A 

<rC 

T' 

AR. 

AT 

h.  m.      s. 

s. 

s. 

s. 

h.  m.      s. 

h.  m.      s. 

h.  m.   s. 

TI     Draconis  . 

W. 

8  15  12.63 

+  0.14 

+  1.41 

—  0.50 

8  15  13.68 

16  22  18.28 

+87  4.60 

f     Ophiuchi  . 

. 

23     8.83 

+  0.04 

—  1.46 

—  0.24 

23     7-1? 

30  11-77 

4.60 

TI     Herculis   . 

. 

31  30.12 

+  0.06 

—  0,07 

—  0.30 

31  29.81 

38  34.19 

4-38 

Groom.  2376  . 

. 

36  13-36 

+  0.07 

—  0.07 

—  0.32 

36  13.04 

43  17.64 

4.60 

K    Ophiuchi  . 

. 

44  37-7° 

+  0.07 

—  0.96 

—  0.24 

44  36.63 

51  4I-I3 

4-50 

d    Herculis  . 

. 

49  52-82 

+  0.14 

—  0.28 

—  0.28 

49  52.40 

56  56.62 

4.22 

a1    Herculis  . 

E. 

9     i  49-27 

+  0.08 

—  0.85 

4-  0.24 

9     i  48.74 

17     8  53.21 

4-47 

Groom.  966    . 

. 

15  47-77 

o.oo 

—  6.42 

—  0.90 

15  40.45 

22  44-95 

4-50 

a     Ophiuchi  . 

• 

22      0.29 

o.oo 

—  0.89 

+  0.24 

22  59.64 

29     4.24 

4.60 

Mean  for  I7h  om  local  sidereal  time  

+  87  4.497±o'.O2g 

Normal  Equations. 

O=  +    3.82  +  g.oo(tt  +    5.190—   9.79*:                it  =  +  cf.Scn 

o  =+  24.10  +  5.19  (5/+  13,970  —  I2.4ic                a  =  —  I'.Sso 

o  =  —  20.84  —  9.79  6t—  12.  41  a  +  28.44  '                 e=  +  o".234 

SALT    LAKE    CITY,  UTAH    TERRITORY,  August  6,    1873. 

Name  of  Star. 

Clamp. 

T 

<5B 

oA 

<:C 

T' 

AR. 

AT 

h.  m.      s. 

s. 

s. 

S. 

h.  m.      s. 

h.  m.      s. 

h.  m.   s. 

72  Ophiuchi  .     . 

E. 

9  54  17-89 

—    O.OI 

—  0.82 

+    0.13 

9  54  17.19 

18     I  21.74 

+87  4.55 

/i1    Sagittarii  . 

. 

59    9-42 

—  0.03 

-  1-45 

+    0.14 

59     8.08 

6  12.47 

4-39 

1     Serpentis  . 

. 

10    7  42.86 

—  0.06 

-  1.05 

+    0.13 

10    7  41.88 

14  46.39 

4.51 

Brad.  2313      . 

. 

14  56.65 

—  0.06 

—  1.30 

+    0.14 

14  55-43 

21  59.85 

4.42 

I     Aquilas      .      . 

21    16.55 

—  0.07 

-  1.16 

+    0.13 

21    15-45 

28  19.98 

4-53 

f    Lyra;    .     .     . 

W. 

33  21.89 

—  0.16 

—    O.II 

-   0.17 

33  21.45 

40  26.04 

4-59 

{*   Lyrae    .      .     . 

. 

33  23.76 

—  0.16 

—    O.II 

-    0.17 

33  22.32 

40  27.92 

4.60 

/?    Lyra;    .      .     . 

38  21.56 

—    O.IO 

—  0.24 

—  0.16 

38  21.06 

45  25.55 

4-49 

50  Draconis  . 

. 

43  23.76 

—    O.22 

+  3-40 

—  0.52 

43  26.42 

50  30.87 

4-45 

f    Aquilae 

. 

52  33.02 

—  0.05 

—  0.72 

—  0.14 

52  32.11 

59  36.47 

4.36 

ir    Sagittarii  . 

• 

55  12-39 

—  0.03 

-  1-45 

—  0.14 

55  10.77 

19      2    15.21 

4-44 

+  87  4.485±o!.oi6 

Normal  Equations. 

o=+    0.31  +  11.  oo  Si  +    3.270—    4.63*                <!/  =  +o§.485 

o=  +  io.84  +    3.27<V  +    9.  08  a  +  10.82  r                 a  =  ~  IB-525 

o=  +  is.07  —    4.63^+  io.82«  +  27.60*:                  c  =  +  OM33 

N 

65 

Talcing  the  mean  of  the  determinations  of  the  corrections  of  the  chronometer,  the 
following  table  shows  the  corrections  and  the  adopted  rates  of  the  chronometers  used  at 
Colorado  Springs  and  Salt  Lake  City: 


NEGUS  1491. 

Date. 

Local  sidereal 
hour. 

Correction  of  chronometer. 

Adopted 
hourly  rate. 

1873- 
July     28 

b. 

17-433 

h.     ra.         s.             s. 
—  o     10     10.120  ±0.020 

s. 
4-  0.064 

29 

19.067 

11.760  ±  0.014 

+   0.034 

30 

20.000 

12.540  ±  0.020 

4-  0.048 

31 

17-975 

'3-596  ±  0.028 

4-  0.047 

Aug.     2 

16.583 

15-745  ±  0.020 

4-  0.044 

4 

ig-733 

18  081  ±  0.0:4 

4-  0.007 

5 

16.550 

18.220  ±  0.017 

+   0.039 

6 

20.467 

—  o     10     19.311  ±  0.017 

4-  0.060 

NEGUS  1511. 

Date. 

Local  sidereal 
hour. 

Correction  of  chronometer. 

Adopted 
hourly  rate. 

1873. 
July     28 

h. 
17.0 

h.     m.         s.             s. 
+  8       7      5-95(>  ±  0.012 

s. 
—  0.019 

29 

19.  o 

5.478  ±  0.020 

—    O.OIO 

30 

18.0 

5-455  ±  0.026 

4-  0.009 

31 

17.0 

5-673  ±  0.037 

+    O.OO2 

Aug.      I 

17.0 

5.727  ±  0.016 

—  0.024 

2 

19.0 

5.093  ±  0.030 

—  0.019 

5 

18.0 

4-440  ±  0.040 

4-  0.002 

6 

18.0 

4-8       7       4-491  ±  0.024 

o.ooo 

Signals  for  Determination   of  Longitude  between  Salt  Lake  City,    Utah,  ami  Colorado 

Springs,  Colorado  Territory. 


Arbitrary  signals  sent  from  — 

Date. 

Salt  Lake. 

Colorado  Springs. 

Colorado  Springs 

Salt  Lake  chronom- 

Colorado Springs 

Salt  Lake  chronom- 

chronometer. 

eter. 

chronometer. 

eter. 

1873. 

h.   m,      s. 

h.  m.      s. 

h.  m.       s. 

h.  m.      s. 

July     29 

18     7  29.91 

9  2I  54-77 

18  13  30.52 

9  27  55-00 

40.10 

22      4-gO 

40.52 

28     5.60 

50.00 

14.85 

55-10 

20.15 

8      O.O2 

24.87 

14     5-62 

30.70 

IO.OO 

34-9° 

15.96 

41.03 

20.00 

44.90 

25.53 

50.60 

30.  10 

54.96 

35  •  S<> 

29     0.62 

40.00 

23     4-87 

45-43 

10.50 

50.16 

14-97 

55-57 

20.65 

59.87 

24.70 

15     5-6o 

30.70 

9  10.  16 

34-99 

15.75 

40.85 

20.19 

45.00 

25-55 

50.63 

30.19 

55.00 

35.48 

30     0.53 

40.20 

24     5.00 

46.10 

u.i8 

50.18 

15.00 

55.00 

20.09 

10    0.17 

25.00 

16     7.00 

32.10 

10.40 

35-22 

15.60 

40.70 

20.20 

45.03 

25.88 

50.98 

30.20 

55-10 

35.10 

31      0.2O 

Mean.iS     9    0.108 

Mean.   9  23  24.949 

Mean.iS  15     5.098 

Mean.   9  29  30.169 

Arbitrary  signals  sent  from  — 

Date. 

Salt  Lake. 

Colorado  Springs. 

Colorado  Springs 

Salt  Lake  chronom- 

Colorado Springs 

Salt  Lake  chronom- 

chronometer. 

eter. 

chronometer. 

eter. 

1873- 

h.  m.      s. 

h.    m.     s. 

h.  m.      s. 

h.   m.      s. 

July     30 

18  47  22.40 

10     i  46.37 

18  58  45.11 

10  13     9.48 

32.00 

56.00 

55-54 

19.90 

4'-97 

2       5.97 

59     5-54 

29.90 

51.88 

15.89 

15.61 

40.00 

48      2.00 

26.OO 

25.57 

49.92 

12.  CO 

36.02 

35.60 

5  9  -.94 

21.98 

46.OO 

45-51 

14     9.90 

32.OO 

56.OO 

55-50 

19.88 

42.00 

3     6.00 

.19    o     5.50 

29.86 

52.00 

16.00 

15-58 

39-94 

49     2.00 

26.00 

25.60 

49-93 

12.49 

36.47 

35-59 

59-94 

22.00 

46.  10 

45-53 

15     9.90 

32.00 

56.00 

56.60 

20.93 

42.38 

4     6.38 

I     5-59 

29.90 

52-4I 

16.43 

16.67 

41  .00 

50     2.50 

26.48 

25.66 

49.98 

12.40 

36.41 

35-57 

59-90 

22.59 

46.60 

45.60 

16     9.9? 

Mean.iS  48  52.158 

Mean.io     3   16.164 

Mean.  19    o  15.656 

Mean.io  14  40.008 

67 


Signals  for  Determination  of  Lonyitiulc,  &c. — Continued. 


Arbitrary  signals  sent  from  — 

Dale. 

Salt  Lake. 

Colorado  Springs. 

Colorado  Springs 

Salt  Lake  chronom- 

Colorado Springs 

Salt  Lake  chronom- 

chronometer. 

eter. 

chronometer. 

eter. 

1873. 

hi   m.      s. 

h.  m.     s. 

h.   m.      s. 

h.  m.      s. 

August  2 

15  37  37-98 

9  5i   59-00 

18  42  55.56 

9  57  16.90 

47-31 

52     8.31 

43     5-52 

26.86 

57.47 

18.47 

15.60 

36.92 

38     7.46 

28.44 

26.53 

47-83 

17.55 

3S-54 

36.59 

57-91 

27-50 

48.50 

46.49 

58     7.80 

38.00 

59.01 

55-54 

16.87 

47-79 

53     8.79 

44     5.6o 

26.93 

57-51 

18.50 

16.40 

37.71 

39     7.64 

28.65 

25.60 

46.90 

17-57 

38.55 

35.60 

56.90 

27.90 

48.90 

45.56 

59    6.86 

37.64 

58.66 

55-53 

16.87 

47.80 

54     8.90 

45     8.50 

29.82 

57-9° 

18.90 

15.53 

36.88 

40     7.97 

29.00 

25.59 

46.87 

17.81 

38.82 

35-57 

56.85 

27.90 

48.90 

45-59 

10    o    6.86 

38.00 

59-oq 

55.56 

16.90 

Mean.  18  39     7.721 

Mean.  9  53  28.728 

Mean.iS  44  25.914 

Mean.  9  58.47.234 

Arbitrary  signals  from  — 

Date. 

Colorado  Springs. 

Salt  Lake. 

Colorado  Springs 

Salt  Lake  chronom- 

Colorado Springs 

Salt  Lake  chronom- 

chronometer. 

eter. 

chronometer. 

eter. 

1873- 

h.  m.      s. 

h.  m.      s. 

h.   m.      s. 

h.    m.     s. 

August  5 

18  45   15.62 

9  59  35-14 

18  49  55.38 

10     4  14.66 

25.60 

45.10 

50     5-30 

24-50 

35-52 

55-00 

15.28 

34.50 

45-55 

10    o     5.01 

25-35 

44.60 

55.56 

15.02 

35.29 

54-51 

46     5.50 

25.00 

45-59 

5    4.85 

15.50 

35-00 

55.60 

14.86 

25.52 

45.00 

51     5.56 

24.80 

35-54 

55-02 

15.50 

34.78 

45.58 

i     5.04 

25.42 

44.72 

56.54 

16.00 

35.60 

54.85 

47     6.59 

26.03 

45-70 

6    4.97 

16.57 

36.03 

56.00 

15-32 

26.58 

46.02 

52     5-62 

24.90 

36.56 

56.00 

15.76 

35-02 

45-70 

2       5.18 

25.61 

44.90 

55-10 

14.50 

35-68 

54.96 

48     5.52 

25.OO 

45.72 

7     5-02 

15.54 

35-03 

56.28 

15-50 

Mcan.iS  46  45.800 

Mean.io     I     5.269 

Mean.lS  51  25.596 

Mean.io    5  44.854 

68 


Signals  for  Determination  of  Longitude,  <(-c. — Continued. 


Arbitrary  signals  sent  from  — 

Date. 

Salt  Lake. 

Colorado  Springs. 

Colorado  Springs 

Salt  Lake  chronom- 

Colorado springs 

Salt  Lake  chronom- 

chronometer. 

eter. 

chronometer. 

eter. 

1873- 

h.  m.     s. 

h.  m.     s. 

h.  m.     s. 

h.  m.     s. 

Aug.     6 

18  15  35.24 

9  29  53.60 

1  8  24   15.60 

9  38  34-24 

45.18 

30    3-59 

25-55 

44.16 

55-oo 

13-50 

35-6i 

54-22 

16     5.40 

23.80 

45.60 

39     4-21 

15.24 

33-05 

55-59 

14.20 

25-JQ 

43-53 

25     5-6l 

24.24 

35-03 

53-50- 

15.12 

33-6i 

45.29 

31     3.65 

25.61 

44-27 

55-iS 

13-53 

34-6o 

53-21 

17     5.30 

23.69 

44-61 

40     3-24 

15.47 

33-86 

54.60 

13.20 

25.48 

43-87 

26     4.60 

23.22 

35-oo 

53-50 

15-68 

34-30 

45-40 

32     3-8o 

25.60 

44-25 

55-30 

13.65 

35-00 

53.62 

18     5.60 

23.98 

45-10 

41     3.64 

15-59 

33-97 

55-62 

14.22 

25.64 

44.00 

27     5.60 

24.20 

35-Di 

•  54-°3 

16.53 

35-16 

Mean.iS  17     5.323- 

Mean  .  9  31  23.721 

Mean.iS  25  45.360 

Mean  .  9  40    3.969 

July  30,  the  breaks  for  the  seconds  of  Salt  Lake  and  Colorado  Springs  coincide.     By  meas- 
uring the  differences  where  I  find  the  full  minute,  I  develop  the  fact  that  the  Colorado   Springs 

chronometer  breaks  o'.no  later  than  the  Salt  Lake  break  ;  therefore  the  mean  of  the  signals  sent 

from  Salt  Lake  and  received  on  the  Colorado  Springs  chronograph  is, 

i8h  48™  52".048. 

The  same  happens  on  August  2.    The  Colorado  Springs  chronometer  is  o'.oqs  later  than  the 

Salt  Lake  chronometer  on  the  Colorado  Springs  chronograph  ;  therefore  the  mean  is, 

i8h  39m  7'.626. 

Final  Results  for  Longitude. 


Signals  sent  from  — 

Stations  of  record. 

Mean    of    sig- 
nals sent  and 
received. 

Time-correc- 
tion. 

Corrected 
time. 

Difference  of 
longitude. 

Double 
wave-time. 

Means. 

I873- 
July  29. 

Salt  Lake  .    .    .    .  < 

Colo.  Springs  chron. 
Salt  Lake  chron.  .   . 

h.  m.      s. 
18     9     o.i  I 

9  23  24-95 

h.  m.     s. 
—  o  10  11^72 

+  8    7    5.46 

h.  m.      s. 
17  58  48.39 

17  30  30.41 

h.  m.      s. 
o  28  17.98 

s, 

s. 

Colorado  Springs  -  < 

Colo.  Springs  chron. 
Salt  Lake  chron.  .   . 

18  15     5.10 
9  29  30.17 

—  o  10  11.72 
+  8     7    5.46 

18    4  53-38 
17  36  35-63 

17-75 

0.23 

17.865 

July  3D. 

Salt  Lake  .    .    .    .  J 

Colo.  Springs  chron. 
Salt  Lake  chron.  .    . 

18  48  52.05 
10    3  16.  16 

—  b  10  12.48 
+  8    7    5.46 

18  38  39-57 
18  10  21.62 

17-95 

Colorado  Springs  .  < 

Colo.  Springs  chron. 
Salt  Lake  chron.  .    . 

19    o  15,66 
10  14  40.01 

—  o  10  12.49 

+  8    7    5.46 

18  50    3.17 
18  21  45.47 

17.70 

0.25 

17.825 

August  2, 

Salt  Lake  .   .    .   .  ) 

Colo.  Springs  chron. 
Salt  Lake  chron.  .    . 

18  39     7-63 
9  53  28.73 

—  o  10  15.83 
+  8    7    S.u 

18  28  51.80 
18    o  33.84 

17.96 

Colorado  Springs  .  < 

Colo.  Springs  chron. 
Salt  Lake  chron.  .    . 

18  44  25.91 
9  58  47-24 

—  o  10  15.83 
+  8    7    5.11 

18  34  10.08 

18    5  52-35 

17-73 

0.23 

17-845 

August  5. 

Colorado  Springs  -  < 

Colo.  Springs  chron. 
Salt  Lake  chron.  .   . 

18  46  45.80 
10     i     5.27 

—  o  10  18.30 

+  87  4.44 

18  36  27.50 
18    8    9.71 

17-79 

Salt  Lake  .    .    .   .  ) 

Colo.  Springs  chron. 
Salt  Lake  chron.  .    . 

18  51  25.60 
10    5  44.85 

—  o  10  18.31 

+  87  4.44 

18  41     7.29 
18  12  49.29 

18.00 

0.21 

17-895 

August  6. 

Salt  Lake  .   .   .   .  J 

Colo.  Springs  chron. 
Salt  Lake  chron.  .   . 

18  17    5.32 
9  3'  23.72 

—  o  10  19.17 

+  87  4.49 

18    6  46.15 
17  38  28.21 

17.94 

Colorado  Springs  .  < 

Colo.  Springs  chron. 
Salt  Lake  chron.  .    . 

18  25  45.36 
9  4°    3-97 

—  o  10  19.18 

+  87  4.49 

18  15  26.18 

1747    846 

17.72 

O.22 

17.830 

Colorado  Springs  east  of  Salt  Lak( 

•  City   

Oh  28m  i7".852±o».oo9 

70 

Mean  Places  of  Stars  for  1873.0,  med  for  Determination  of  Latitude  of  Colorado  Springs, 

Colorado  Territory. 


No.  of 
pair. 

No.  in 
B.  A.  C. 

Right 
ascension. 

Declination. 

No.  of 
pair. 

No.  in 
B.  A.  C. 

Right 
ascension. 

Declination. 

h.  m.   s. 

0          1             II 

h.  m.   s. 

0            ,                 „ 

5587 

16  34  57 

12   38   35.4 

7297 

20  55     5 

39  45  23.86 

I 

5628 

40     3 

64  49  48.4 

25 

7320 

58     9 

38     9  23.70 

2 

5747 

56  55 

33  45  14.08 

26 

73&I 

21      6    13 

22  33  45.2 

5775 

17     i  13 

43  59     9.46 

7401 

13  27 

55   15   54.42 

579° 

3  38 

40  40  59.86 

ft*! 

7444 

18  55 

25   37  43-49 

3 

5834 

10  38 

36  57  13.04 

*J 

7489 

27  ii 

52     3  36.28 

5871 

16  46 

46   21    58.58 

oH 

7505 

29  35 

37  57  56-32 

4 

5927 

26    7 

31    15    15-10 

40 

7521 

3i  52 

39  5<->  37.7f> 

5978 

33  4i 

61   58  18.9 

Of. 

7554 

36  28 

40  13  45.02 

5 

599' 

36  16 

16     o  44.7 

zy 

7566 

38  10 

37  42   10.92 

6079 

51  20 

56  53  35-36 

in 

7621 

46    12 

66  12     8.4 

6110 

56  57 

20  50     5.7 

3U 

7641 

50  45 

II  28  27.5 

7 

6i57 

18    3  20 

20  47  46.2 

7683 

57  48 

57  23  17.18 

g 

6238 

16     4 

28  48  39.4 

31 

7733 

22     4  30 

20    21    16.4 

6255 

18  18 

49     3  28.30 

7757 

7  50 

27  58  46.49 

6357 

33  55 

39  33  26.28 

32 

7825 

20    17 

49  45  25-22 

9 

6365 

35   54 

38  15     1.54 

IO 

6391 

40  14 

39  28  51.50 

7832 

22    17 

-  o  40    9.8 

33 

7857 

25  44 

78     8  18.1 

6468 

50  13 

33  48  27.32 

34 

7874 

28  44 

78  10  19.9 

1  1 

6475 

51  28 

43  46  47-3° 

7880 

30  13 

38  58  39-82 

6520 

57  51 

46  45  20.56 

35 

Gr.3873 

39    8 

38  32     7-36 

12 

6571 

19     6  54 

31     4  22.42 

7931 

38    21 

38  48     1,90 

6586 

9  17 

65  45  57-5 

4fS 

7951 

41   18 

-  4  53  13-7 

13 

6615 

13  44 

12     8  35.4 

3° 

7990 

47  55 

82  28  47.5 

6652 

19  49 

20     I  21.6 

8003 

52  51 

II     3     3-3 

14 

6681 

23  29 

57  46  18.90 

37 
oft 

8039 

58  43 

66  31  29.0 

J° 

8077 

23     4  55 

66  33     9.5 

6698 

27     3 

34  ii     3-32 

15 

6720 

30  43 

43  4°    2.52 

•n 

8147 

16  26 

19  51  47.4 

39 

8188 

24  ii 

57  50  55.98 

rA 

6731 

32  42 

44  24  56.30 

40 

Gr.4iio 

32    21 

57  57     5.58 

IO 

6784 

41  36 

33  26    0.74 

8296 

45  57 

20  57  54.22 

I? 

6819 
6852 

46  42 
51  19 

18  20  49.49 
59  22  23.28 

41 
42 

8310 
8317 

48     3 
49  12 

56  47  34.04 
56  42  18.74 

Gr-42i6 

57  39 

49    9  47.30 

TQ 

6863 

52  51 

57  54  55-94 

43 

8374 

o    o     i 

28  19  15.15 

1C 

6901 

59  31 

19  37  42.0 

28 

6  55 

40  20    3.36 

6918 

2O     I  40 

51  28  32.38 

44 

67 

14  26 

37  15  53-68 

J9 

6944 

6  41 

26    6     2.7 

87 

18  54 

i  14  10.80 

45 

105 

22  45 

76  19     6.8 

20 

6963 
6998 

9  26 
13  46 

42  59  40.52 
34  35  13-28 

46 

121 

178 

24  47 

34  52 

53  49  15-16 
23  55  57-42 

7022 

17  40 

39  51     4-58 

2O  I 

38     4 

54  31  33.26 

21 

7061 

22    52 

38     i  27.56 

47 

A& 

Gr.  137 

39     o 

54  36  37.4 

4° 

250 

48  10 

22  56  25.71 

22 

7084 
7101 

26    10 

28   29 

36  30  32.70 

41      2   24.58 

49 

285 
33° 

55  52 
I     2     8 

31     7  18.84 
46  33  49.88 

7140 

32    51 

20  45  23.4 

en 

357 

5  49 

31   24     3-54 

23 

7189 

39     8 

56  55  44.74 

5U 

441 

22    30 

46   21      4-10 

7243 

45  37 

50  18  41.56 

C  T 

474 

28   42 

48     4  23.02 

24 

7256 

49     8 

27  34  33-o8 

D1 

5M 

34  29 

29  24  13.5 

71 


Observations  for  Latitude. — Station,  Colorado  Springs. 


Date. 

No.  of 
star. 

Microm. 
reading. 

Level. 

Remarks. 

Date. 

No.  of 
star. 

Microm. 
reading. 

Level. 

Remarks. 

N. 

S. 

N. 

S. 

1873- 

t.      d. 

d. 

d. 

1873. 

t.      d. 

d. 

d. 

Julysi 

7505 

6  10.  6 

24.0 

28.0 

Air  very  undu- 

Aug. 2 

6238 

2   62.8 

24.0 

17.7 

7521 

15     i.3 

28.3 

24.0 

lating. 

6255 

15     0.7 

8.3 

33-4 

7554 
7566 

17  54-2 
I  57.2 

31.0 
17.0 

21.3 
35-3 

Changed  length 
of  bubble. 

6357 
6365 

13  31-0 
4  53-2 

20.0 
II.9 

22.0 
29-4 

Very  faint. 

7621 

II     6.9 

19.5 

14.0 

6391 

8  95.0 

23.0 

19-3 

7641 

9  96.0 

9-7 

24.6 

6468 

II  94.6 

21.  0 

21.8 

7683 

13     5-3 

18.0 

16.0 

6475 

8     8.1 

17.0 

26.0 

7733 

8     2.8 

15.5 

18.5 

7757 

7  80.9 

17.3 

16.8 

6520 

14  39-0 

24.4 

18.7 

7825 

12    72.6 

31.0 

3.o 

6571 

4  36-4 

9.3 

33-4 

7832 

16  70.9 

22.  O 

ii.  3 

6586 

17  10.2 

21.8 

20.9 

Changed      in- 

7857 

5  96.4 

I3.O 

20.3 

6615 

2    31.2 

2.3-9 

18.5 

clination. 

7874 

7  93-6 

13.3 

20.3 

6652 

6  63.0 

iS.o 

24.6 

7951 

10  89.2 

18.0 

16.8 

6681 

14  89.3 

30.4 

12.3 

7990 

7  41-6 

26.O 

9.0 

6698 

3  52.3 

20.8 

22.  0 

8003 

12    23.5 

16.8 

18.2 

6720 

15     iI-5 

27.0 

16.0 

8039 
8077 

7  68.5 
9  33-i 

26.3 

25-7 

8.7 
9-7 

6731 
6784 

15  Si.o 
4  56.9 

23.9 
17.3 

19.0 
26.2 

8147 
8188 
Gr.4iio 

5  97-1 
9  37-4 
15  32.3 

15.0 
31.2 

31.0 

20.9 

5-0 
5.0 

6819 

6852 

7  75-5 
ii  64.6 

18.0 
28.6 

26.0 
16.0 

8296 
8310 

10  27.5 
16  17.1 

18.0 
18.0 

17-9 
18.0 

6863 
6901 

5  25.6 
ii  67.0 

26.0 
16.5 

18.4 
28.5 

8317 

ii   11.4 

18.0 

18.0 

6918 

8    12.0 

18.9 

26.2 

Gr.42i6 

5  39-0 

18.0 

18.3 

6944 

12    52.4 

30.9 

14.4 

8374 

15  31-5 

21.2 

15.0 

6963 

7  75-8 

21.7 

23.6 

28 

8  17.5 

16.4 

20.  o 

6998 

ii  90.7 

26.0 

19-5 

67 

ii   56.7 

16.3 

20.  o 

7022 

•6  49.0 

20.5 

25.2 

87 

12   22.0 

17.3 

19.0 

7061 

3  54-0 

32.9 

13-3 

105 

6  34.0 

18.9 

iS.o 

7084 

12  98.9 

20.9 

25.0 

Aug.  2 

5587 

13      2.6 

16.0 

25-4 

Air  little  undu- 

7101 

6  98.9 

29-4 

16.9 

5628 

2    83.9 

41-5 

lating. 

7140 

8     9.8 

22.5 

23.0 

5747 

7  23.7 

19.8 

22.3 

7189 

10    5.3 

3L7 

14.8 

5775 

12    27.8 

21.8 

20.3 

7243 

16  77.0 

18.6 

28.0 

Faint. 

579° 

8  79.0 

21.3 

20.7 

7256 

3  20.0 

32-3 

14-3 

5834 

9  79-8 

14.3 

27.9 

7297 

16  55.0 

26.0 

21.  0 

5978 

18  32.0 

22.3 

19.5 

7320 

i  57.0 

20.3 

27.2 

599' 

-  o  78.7 

13.0 

29.0 

7361 

4  -o.l 

25.0 

22.8 

6079 

ii   34-6 

25.0 

17.0 

7401 

14  82.5 

27.9 

20.  2 

6110 

7     8.9 

9-3 

32.0 

7444 

9  14.0 

25-7 

22.2 

6157 

9  35-1 

8.0 

33-6 

7489 

ii  21.9 

25.0 

23.3 

72 


Observations  for  Latitude. — Station,  Colorado  Springs — Continued. 


Date. 

No.  of 
star. 

Microm. 
reading. 

Level. 

Remarks. 

Date. 

No.  of 
star. 

Microm. 
reading. 

Level. 

Remarks. 

N. 

S. 

N. 

S. 

1873- 

t.   d. 

d. 

d. 

1873- 

t.   d. 

d. 

d. 

Aug.  2 

7505 

.5  48.0 

24.7 

23.5 

Aug.  4 

357 

6  96.9 

23.0 

21  .O 

7521 

14  45.6 

24.6 

23-5 

Cloudy. 

441 

12  63.9 

25.8 

18.3 

4 

7505 

5  50.6 

24-3 

15-5 

Air  good. 

474 

5  60.8 

21.  S 

22.2 

7521 

M  23.7 

3-0 

37-0 

5M 

16  5-3 

I4.8 

29.0 

7554 

17  79-8 

22.6 

17-3 

5 

6238 

2  96.0 

19.8 

15.0 

Very   heavv 

7566 

I  83.1 

7-4 

32-7 

6255 

15  39-t 

—  1.0 

35-4 

wind. 

7621 

10  19.3 

23.9 

16.2 

Changed   the 

6652 

6  41.2 

15.0 

21.  0 

7641 

9  10.0 

5.0 

35.3 

inclination. 

6681 

M  59-7 

21.6 

15-0 

7683 

12  44.7 

22.7 

18.0 

6698 

3  41-8 

2O.  2 

16.0 

7733 

7  26.9 

23.O 

18.0 

( 

6720 

M  87.3 

16.0 

21.0 

7757 

7  21.  o 

25.2 

15.8 

6731 

15  13-4 

20.2 

17.0 

7825 

12   4.6 

20.7 

21.  0 

6784 

3  84-3 

17.9 

20.  1 

7832 

15  53-0 

23.0 

18.3 

6819 

6  99.0 

iS.o 

20.  o 

7857 

4  88.9 

23.8 

I7.8 

6852 

10  95.0 

28.0 

10.2 

7874 

6  86.5 

23.6 

18.0 

6863 

6  50.4 

22.4 

16.0 

7880 

9  46.8 

20.3 

21.  0 

Wrong  setting. 

6901 

12  83.0 

17.5 

21.  0 

Gr.  3873 

17  49-3 

30.0 

"•3 

6918 

8  5-6 

17.3 

21.2 

795i 

10  20.  8 

23.0 

18.4 

6944 

12  53.0 

21.  0 

17.2 

7990 

6  63.9 

20.3 

21.  0 

6963 

8  27.0 

20.8 

18.0 

8003 

ii  59.9 

17.9 

23.0 

6998 

12  36.0 

22.4 

16.5 

8039 

7  7-0 

27.4 

I4.O 

7022 

15  64.0 

25.8 

13-9 

8077 

8  68.5 

27.8 

14.8 

7061 

2  64.9 

19.0 

20.  o 

8i47 

5  42.0 

19.8 

22.8 

7084 

12  22.5 

21.3 

17-3 

8188 

8  91  .0 

33.7 

9.0 

7101 

6  18.0 

19.3 

20.  o 

Gr.  4110 

14  83.0 

32.7 

9.8 

7140 

7  71-8 

20.  o 

19.2 

8296 

9  51.0 

28.0 

14.5 

7189 

9  55.2 

18.0 

21.3 

8310 

15  46.0 

14.0 

28.6 

8317 

10  38.9 

13.5 

29.2 

7243 

16  70.0 

20.3 

19.0 

7256 

3  19.6 

16.6 

23.0 

Gr.  4216 

5  4-3 

24.7 

18.0 

8374 

14  99-5 

16.6 

26.0 

7297 

16  44.0 

23-9 

15.8 

7320 

I  60.5 

9.0 

30.8 

28 

7  99.1 

25.0 

18.0 

67 

ii  26.2 

20.3 

22.3 

7361 

4  18.0 

23-3 

16.0 

7401 

14  12.7 

9.8 

30.0 

87 

ii  44.4 

22.  0 

20.8 

105 

5  70.3 

25.6 

17.3 

7444 

10  34.0 

18.0 

21.8 

7489 

12  40.9 

24-3 

15  7 

121 

ii  58.0 

17.3 

25-7 

I78 

5  88.5 

28.8 

14.5 

7505 

5  71*0 

24.5 

15.0 

7521 

14  60.3 

10.8 

29.0 

2O  I 

4  49-3 

ig.O 

24-3 

9  35-0 

15-3 

28.0 

7554 

18  30.9 

23.5 

16.6 

250 

15  42.0 

27.O 

16.3 

7566 

2  21.  0 

14.8 

25.8 

285 

9  26.5 

18.0 

25.3 

7621 

9  77.0 

20.  o 

21.  0 

33° 

II  II.  2 

32.0 

12.0 

7641 

8  44.8 

23-3 

18.0 

73 


Observations  for  Latitude. — Station,  Colorado  Springs — Continued. 


Date. 

No.  of 
star. 

Microm. 
reading. 

Level. 

Remarks. 

Date. 

No.  of 
star. 

Microm. 
reading. 

Level. 

Remarks. 

N. 

S. 

N. 

S. 

1873. 

t.     d. 

d. 

d. 

1873. 

t.     d. 

d. 

d, 

Aug.  5 

7683 

12  54.6 

19.9 

22.  0 

Aug.  6 

7683 

12    87.7 

20.  0 

14.0 

7733 

7  42.1 

22.  0 

2O.  O 

7733 

7  62.5 

21.  0 

J3-3 

7757 

6  86.9 

ig.O 

23.O 

7832 

15  20.5 

2O.  2 

'5-3 

7825 

n   67.5 

24.7 

iS.o 

7857 

4  43-o 

12.  0 

23.6 

7832 

15  72-1 

20.3 

22.0 

7874 

6  40.9 

12.2 

23.5 

7857 

4  98.5 

20.2 

22.0 

7S74 

6  94.2 

20.3 

22.  O 

7880 

13     7-0 

2O.  2 

15.0 

7931 

5  96-9 

14-5 

20.8 

7880 

12    8o.O 

21.6 

20.8 

7931 

5  63.8 

21.5 

21.4 

795' 

10  71.0 

I4.8 

20.3 

7951 

II     1.5" 

23.0 

19.8 

7990 

7  21.4 

'5-4 

19.9 

7990 

7  35-8 

13-5 

29.3 

8003 

12    17.8 

19.9 

15.0 

8003 

II   84.0 

24.8 

18.0 

8039 

7  54-9 

13.0 

22.  0 

8039 

7   19-8 

15.4 

28.0 

8077 

9  16.2 

13.0 

22.0 

8077 

8  79.2 

14.4 

29.0 

8i47 

5  91-0 

I8.4 

17.2 

8147 

5  33-1 

26.0 

17.9 

8iS8 

9  17-3 

13-0 

23.0 

8188 

8  56.3 

13.0 

31.0 

Gr.  4110 

15  10.3 

12.8 

23.2 

Cloudy. 

Gr.4iio 

14  50.0 

13-7 

31-5 

8296 

9  39-3 

30.0 

13-5 

7 

7297 

16  75.0 

17.9 

14.7 

8310 

15  27.1 

10.3 

33-2 

7320 

I  71.7 

16.0 

17-3 

8317 

10  19.4 

9.8 

33-7 

736i 

5  77-7 

15.3 

18.2 

Gr.42l6 

5    21.0 

23.5 

19.8 

7401 

16     0.9 

29.0 

4.6 

8374 

15  19-4 

13.8 

29-5 

7444 

9  78.5 

16.7 

17.0 

28 

8'    5-0 

19.0 

25.0 

7489 

II    89  .  O 

20.  o 

14.0 

67 

II  31.0 

25.2 

18.8 

7505 

5  64.7 

19.8 

13.8 

87 

II  66  .  5 

27.2 

17.0 

7521 

14  74-1 

18.0 

15.8 

105 

5  80.4 

12    6 

32.0 

7554 

17  81.2 

19.0 

14.9 

121 

n   85.1 

20.  o 

24.7 

7566 

I  63.6 

17.0 

16.3 

I78 

6  18.9 

24.0 

21.3 

7621 

10  19.0 

18.5 

16.0 

201 

4  48.9 

23.6 

22.  O 

7641 

8  86.0 

18.9 

16.0 

9  40.4 

23.3 

22.3 

7683 

12  99  .  I 

16.0 

18.3 

250 

15   50.8 

19.0 

27.4 

7733 

7  84.2 

20.3 

14.0 

285 

8  41.6 

22.3 

23-5 

7757 

7  33-3 

19.0 

15-3 

339 

10  20.9 

25.9 

20.3 

7825 

12  37.0 

31.0 

357 

7  3°-7 

26.0 

19.7 

7832 

15  95-9 

20.  o 

15.0 

I5'aft<  r  merid. 

44t 

12    78.4 

"5-5 

30.3 

7857 

5  46.2 

29.8        5-5 

15'  after  merid. 

474 

5  33-7 

18.6 

25.0 

|        7874 

7  45-0 

29.7       6.0 

1  5s  after  merid. 

514 

15  68.0 

25.0      19.0 

7880 

'3  75-3 

13.9      21.4 

1  5*  after  merid. 

6 

7554 

17  64.0 

21.7        12.0 

Air  very  good. 

7931 

6  36.2 

35-4       o.o 

15'  after  merid. 

7566 

I  46.9 

15.8        18.3 

8003 

n   79.0 

19.4        If).  2 

Changed  incl'n. 

7621 

9  95-3 

13.7        20.3 

8039 

7  25-4 

18.9    |    16.9 

7641 

8  60.  1 

25.0 

9.0 

8077 

8  86.6 

18.6 

17-3 

74 
Observations  for  Latitude. — Station,  Colorado  Springs — Continued. 


Level. 

Level. 

Date. 

No.  of 
star. 

Microm. 
reading. 

Remarks. 

Date. 

No.  of 
star. 

Microm. 
reading. 

Remarks. 

N. 

S. 

N. 

S. 

1873- 

t.  d. 

d. 

d. 

1873. 

t.  d. 

d. 

d. 

Aug.  7 

8147 

5  80.5 

19.8 

16.8 

Aug.  9 

5747 

7  25-0 

18.0 

21.6 

8188 

9  21.2 

20.3 

16.6 

5775 

12  36.0 

27.0 

13.0 

Gr.  4110 

15  14.2 

20.3 

16.6 

5790 

9  22.8 

iQ-5 

20.4 

8296 

10  45-3 

22.  0 

14.8 

5834 

10  11.7 

22.  0 

18.0 

8310 

16  46.5 

17.3 

19.8 

8317 

II  38.9 

17.0 

20.  2 

5871 

8  46.8 

22.3 

17.9 

5927 

to  34.2 

16.0 

25.0 

Gr.  4216 
8374 

4  85.3 
14  90.6 

19.6 

8.3 

I7.6 
2g.O 

5978 

18  74.0 

I8.5 

22.6 

5991 

—  o  62.7 

30.3 

10.8 

28 

8  42.0 

22.  0 

15-2 

°7 

II  76.1 

9-7 

28.2 

6079 

12  24.2 

24.0 

17.9 

6110 

7  90-9 

16.0 

26.0 

87 

II  92.6 

18.0 

19.6 

6157 

10  16.0 

16.3 

25.9 

Cloudy,  heavy 

105 

6  8.0 

14-7 

22.9 

rain,  and  storm. 

7444 

IO   I.O 

19.0 

24.3 

121 

ii  88.3 

17-3 

20.  2 

7489 

12  23.2 

34-0 

9-7 

I78 

6  30.3 

15.2 

22.2 

7505 

6  14.6 

26.0 

16.0 

2OI 

4  59-9 

20.  o 

17-3 

7521 

15  28.7 

21.8 

21.8 

9  54-6 

21.8 

15.9 

250 

15  77-0 

I.O 

36.O 

8003 

ii  93.5 

25.0 

19.5 

Cloudy;  thro' 

474 
514 

5  68.4 
16  24.0 

17.3 
5.9 

20.  2 

31-8 

Cloudy. 

8039 

8077 

7  52.0 
9  23.2 

30.0 
30.4 

14.5 

14.0 

clouds. 
Setting  of  mic. 
uncertain. 

75 


Computations  for  Latitude. — Station,  Colorado  Springs. 


Date. 

dumber 
of  pair. 

Half-sum  of  dec- 
linations. 

Corrections. 

Latitude. 

Mic.  and  ref. 

Level. 

Meridian. 

1873- 

o        , 

,      „ 

/. 

,. 

0            <                // 

July  31 

28 

38  54  19.62 

—  4  36.72 

+  0.08 

o.oo 

38  49  42.98 

29 

58     0.46 

-  8   16.16 

—   2.36 

o.oo 

41.94 

30 

50  18.86 

-  o  34.45 

-  2.59 

o.oo 

41.82 

31 

52    IQ.IO 

—  2  36.11 

—  0.27 

o.oo 

42.72 

32 

52    7-84 

-    2   32.75 

+   7-83 

o.oo 

42.92 

* 

33 

44     6.75 

+  5  33-88 

+  0.93 

o.oo 

41.56 

34 

45     7-6i 

+  4  32.34 

+     1.  01 

o.oo 

40.96 

36 

47  49-29 

+   I  48.02 

4-    5-01 

o.oo 

42.32 

37 

47  18.07 

+    2   21.36 

+  4-45 

o.oo 

43-88 

38 

48     8.24 

+    I    30.23 

+  4-01 

o.oo 

42.48 

39 

51  23.23 

-    I    45-73 

+   5-58 

o.oo 

43.08 

40 

54  27.92 

-  4  50.57 

+   5-52 

o.oo 

42.87 

4' 

52  45.50 

-  3     3-19 

o.oo 

o.oo 

42.31 

42 

50     7-84 

—  o  26.07 

o.oo 

o.oo 

41.77 

43 

44  32.40 

+  5     8.36 

+  1.63 

o.oo 

42.39 

44 

47  59-51 

+   i  45.38 

—    2.00 

o.oo 

42.89 

45 

46  41.05 

+  3     2-72 

—    O.22 

o.oo 

43-55 

Aug.  2 

I 

38  44  17-10 

4-  5  16.52 

+    8.83 

o.oo 

38  49  42.45 

2 

52  18.27 

—    2   36.61 

-    0.27 

o.oo 

41-39 

3 

49  12.95 

+  o  31.09 

-    3-58 

o.oo 

40.46 

5 

59  37-08 

-  9  53.67 

-    3-63 

o.oo 

39-78 

6 

51  56.02 

—    2    12.26 

—   4-03 

+  0.30 

40  03 

7 

50  46.29 

-  i     1-99 

-    4-84 

+  0.30 

39-76 

8 

46    9-43 

—  6  24.60 

-    5-14 

o.oo 

39-69 

9 

54  19-47 

-  4  32.73 

-    5-36 

+  0.04 

41.42 

10 

52     2.04 

—  2  17.25 

-  3-79 

o.oo 

41.04 

n 

47  42.42 

+    2      O.O7 

—  2.69 

o.oo 

39.8o 

12 

54  56.64 

-  5  "-SO 

—  5.06 

+  0.04 

40.08 

13 

57  20.68 

-  7  39-54 

+  1-73 

o.oo 

42.91 

14 

53  53-73 

-  4  16.72 

+  3-i6 

o.oo 

40.17 

15 

55  37-74 

—  6    0.15 

+  2.69 

o.oo 

40.28 

16 

55  33-12 

-  5  49-  24 

—    I.  10 

o.oo 

42.78 

17 

51  40.50 

—  2    0.84 

+  1.26 

o.oo 

40.92 

18 

46  23.19 

+  3  19.28 

—    1.  21 

o.oo 

41.26 

19 

47  21.  81 

+  2  16.82, 

+  2.53 

o.oo 

41.16 

20 

47  3I-I7 

+2     8.90 

+  1.26 

o.oo 

41.33 

21 

•56  20.23 

—  6  42.34 

+  4-12 

o.oo 

42.01 

22 

46  32.70 

+  3     6.41 

+  2.31 

o.oo 

41.42 

23 

50  37-75 

-  I     0.74 

+  4.51 

o.oo 

41.52 

24 

56  41.06 

—  7     I.  60 

+  2.36 

o.oo 

41.80 

25 

57  27.43 

-  7  45-41 

-  0.55 

o.oo 

41.47 

26 

54  53-13 

-    5  14-55 

+  2.72 

o.oo 

41.30 

27 

50  43.09 

-  i     4-59 

+  1-43 

o.oo 

39-93 

28 

54  20.25 

-  4  38.88 

+  0.63 

o.oo 

42.00 

4 

28 

38  54  20.87 

—  4  31.26 

-  6.93 

o.oo 

38  49  42.68 

29 

58     1.72 

—  8  16.08 

-   5-50 

o.oo 

40.14 

30 

50  19.96 

-  o  33.94 

—    6.21 

o.oo 

39.81 

31 

52  20.47 

—    2   40.89 

+  2.67 

o.oo 

42.25 

32 

52    9.08 

—    2   30.25 

+  2.50 

o.oo 

41-33 

33 

44     7-72 

+  5  30.66 

+  2.94 

o.oo 

41-32 

34 

45     8.56 

+  4  29.25 

+  2.83 

o.oo 

40.64 

Computation  for  Latitude.— Station,  Colorado  Sprinys — Continued. 


Date. 

Number 
of  pair. 

Half-sum  of  dec- 
linations. 

Corrections. 

Latitude. 

Mic.and  ref 

Level. 

Meridian. 

1873- 

0             , 

/ 

,, 

„ 

0            ,                ,1 

Aug.  4 

35 

38  45  26.65 

+  4     9-33 

+  4-95 

o.oo 

38  49  40.93 

3f> 

47  50-22 

+  i  50.91 

+     I.  10 

o.oo 

42.23 

:•; 

47   i9-'8 

+    2    20.71 

+  2.28 

o.oo 

42.17 

38 

48     9-34 

4-    I   30.54 

+  2.17 

o.oo 

42.05 

39 

51   24.36 

-    I   48.43 

+   5-97 

o.oo 

41.90 

40 

54  29.04 

-  4  52.37 

+   5-50 

o.oo 

42.17 

4i 

52  46.58 

-   3     4-87 

—  0.30 

o.oo 

41.41 

42 

50     8.94 

-  o  27.31 

-     0.60 

0.00 

41.03 

43 

44  33-51 

+5     9-20 

-  0.74 

0.00 

41.97 

44 

48     0.60 

+  I  41.  6T 

+   1-37 

o.oo 

43.58 

45 

46  41.93 

+    2    58.41 

+   2.61 

o.oo 

42.95 

46 

52  36.80 

—    2    56.95 

+   1.65 

o.oo 

41.50 

47 

44     1.61 

+  5  39-49 

+   1.48 

o.oo 

42.58 

48 

46  33.68 

+  3     8.59 

-  0.55 

o.oo 

41.72 

49 

50  36.07 

-  o  57.39 

+  3-49 

0.00 

42.17 

50 

52  35-44 

—    2    56.16 

+   2.61 

o.oo 

41.89 

51 

44  19.92 

+   5  24.52 

—  4.01 

0.00 

40.43 

5 

14 

38  53  55.48 

-  4  14-31 

+  0.16 

o.oo 

38  49  41.33 

'5 

55  38.54 

-  5   55.89 

—    O.22 

o.oo 

42.43 

16 

55  33-94 

—  5  50.80 

+    0.27 

o.oo 

43.41 

17 

51  41.30 

—    2      3.04 

+    4-45 

o.oo 

42.71 

18 

46  24.00 

+  3  16.55 

4-  0.80 

o.oo 

41.35 

19 

47  22.65 

+  2  18.81 

+  0.03 

o.oo 

41.49 

20 

47  32.05 

+    2       7.06 

+  2.39 

o.oo 

41.50 

21 

56   21.  IT 

—  6  43.62 

+  3-oo 

o.oo 

40.49 

22 

46   33.60 

+  3     7-71 

+  0.91 

o.oo 

42.22 

23 

50  38.61 

-  o  56.98 

—  0.69 

o.oo 

40.94 

24 

56  41.96 

-  6  59.55 

—  1.40 

o.oo 

41.01 

25 

57  28.36 

—  7  40.90 

-  3-77 

o.oo 

43.69 

26 

54  54-04 

—  5     9-o6 

-  3-55 

o.oo 

41.43 

27 

50  44.02 

—  i     4.28 

+  1.32 

o.oo 

41.06 

28 

54  21.19 

-  4  36.30 

-  2.39 

o.oo 

42.50 

29 

58     2.03 

—  8  20.18 

-   J-I3 

o.oo 

40.72 

30 

50  20.23 

—  o  41.07 

+   1.18 

o.oo 

40.34 

31 

52  20.61 

—  2  39.25 

—  0.03 

o.oo 

41.33 

32 

52     9-39 

—    2   29.32 

+  0.74 

o.oo 

40.81 

33 

44     7.96 

+  5  33-62 

—  0.96 

o.oo 

40.62 

34 

45     8.81 

+  4  32.80 

—  0.94 

0.00 

40.70 

35 

53  24.22 

-  3  42.42 

+  0.25 

o.oo 

42.05 

36 

47  50.47 

+  i  53.65 

-  3-47 

o.oo 

40.65 

37 

47  19-46 

+    2   24.22 

-   1.59 

o.oo 

42.09 

38 

48     9.61 

+    I    34-70 

-  2.14 

o.oo 

42.17 

39 

51  24.65 

—    I    40.42 

—  2.72 

o.oo 

41.51 

40 

54  29.34 

-  4  44.89 

—  2.67 

o.oo 

41.78 

41 

52  46.87 

-  3     2.65 

-  1.76 

o.oo 

42.56 

42 

50    9.22 

—  o  24.89 

—  2.03 

o.oo 

48.30 

43 

44  33.78 

+  5  10.19 

-  3-30 

0,00 

40.67 

44 

48     0.87 

+  i  41.30 

+  o.n 

o.oo 

42.28 

45 

46  42.16 

+  3     2.13 

-  2.53 

o.oo 

41.76 

46 

52  37-05 

-  2  55-93 

-  0.55 

o.oo 

40.57 

47 

44     1.87 

+  5  42-35 

-  1.87 

o.oo 

42.35 

48 

46  33-93 

.+.  3    9-65 

—  2.03 

o.oo 

41.55 

77 


Computations  for  Latitude. — Station,  Colorado  Springs— Continued 


Date. 

Number 
of  pair. 

Half-sum  of  dec- 
linations. 

Corrections. 

Latitude. 

Mic.  and  ref. 

Level. 

Meridian. 

1873- 

0           ,               ,. 

*       a 

„ 

M 

0            ,                „ 

Aug.  5 

49 

38  50  36.36 

-  o  55-71 

+    1.  21 

o.oo 

38  49  41.86 

5° 

52  35-67 

—    2    50.17 

-    2.34 

o.oo 

43.16 

51 

44  20.15 

+  5  21.35 

—   O.II 

0.00 

41.39 

6 

29 

38   58     2.34 

-   8  22.41 

+    1.98 

o.oo 

38  49  41.91 

30 

50  20.51 

-  o  42.00 

+    2.58 

o.oo 

41.09 

31 

52  20.90 

-    2   43.18 

+    3-77 

o.oo 

41.49 

33 

44     8  .  20 

+   5  34.84 

-    1.84 

o.oo 

41.20 

34 

45     9-05 

+  4  33-33 

-    I.76 

o.oo 

40.62 

35 

53  24.54 

-  3  40.63 

—   0.30 

0.00 

43-61 

36 

47  50.71 

+   I   54.85 

-  2.75 

o.oo 

42.81 

37 

47   19-75 

+    2    23.82 

-   1.13 

o.oo 

42.44 

38 

48     9.89 

+    I    33-71 

-   I-  13 

o.oo 

42.47 

39 

5i   24.94 

-    I    41-39 

-  2.42 

o.oo 

41.13 

40 

54  29.62 

-  4  45-64 

-  2.53 

o.oo 

41.45 

7 

25 

38  57  28.97 

-  7  47-05 

—  0.52 

o.oo 

38  49  41.40 

26 

54  54-62 

—  5  17-90 

+  3-i6 

o.oo 

39-88 

27 

50  44-96 

-  i     5.4i 

+   1-57 

o.oo 

41.12 

28 

54  21.81 

—  4  42  15 

+  2.23 

o.oo 

41.89 

29 

58     2.66 

—  8  22.63 

+   1-32 

0.00 

41-35 

30 

50  20.77 

—  o  41.32 

+   1.48 

o.oo 

40.93 

3i 

52    21.20 

-    2    39.99 

+    I.IO 

o.oo 

42.31 

32 

52  10.01 

-    2    46.49 

+  9-54 

o.oo 

43-06 

33 

44     8  .  46 

+  5  26.19 

+  8.06 

o.oo 

42.71 

34 

45     9-29 

+  4  29.41 

+  7-89 

o.oo 

41-59 

35 

53  24.86 

-  3  49.63 

+  7-70 

+-  0.06 

42-99 

37 

47  20.02 

+    2    30.93 

+   1-43 

o.oo 

42-38 

38 

48  10.18 

+    I    30.85 

+   1.24 

o.oo 

42.27 

39 

51  25.22 

-    I    45.86 

+   1.84 

o.oo 

41.20 

40 

54  29.91 

-  4  50.11 

+   1.84 

0.00 

41.64 

41 

52  47-44 

-  3     6.79 

+   1.29 

o.oo 

41.94 

42 

50     9-79 

—  o  29.08 

4-   I.IO 

o.oo 

41.81 

43 

44  34-35 

+  5  '2.31 

-   5-14 

o.oo 

41.52 

44 

48     1-43 

+  i  43-79 

—   3.22 

o.oo 

42.00 

45 

46  42.62 

+  3     1-67 

—   2.69 

o.oo 

41.60 

46 

52  37-52 

—  2  53.38 

—   2.72 

o.oo 

41.42 

47 

44     2.38 

+  5  47-07 

-  8.88 

o.oo 

40.57 

48 

46  34-45 

+  3  13-37 

—  8.00 

o.oo 

39-82 

51 

44  20.60 

+  5  27.95 

-  7.92 

o.oo 

40.63 

9 

2 

38  52  19.24 

-  2  38.76 

+  2.86 

o.oo 

38  49  43.34 

3 

49  13-96 

+  o  27.62 

+  0.85 

o.oo 

42.43 

4 

48  44.25 

+  o  58.23 

—  1.26 

o.oo 

41.22 

5 

59  38.12 

-io     1.74 

+  4-23 

o.oo 

40.61 

6 

51   57.25 

—    2    14.62 

-  1.07 

o.oo 

41.56 

7 

50  47-51 

-    I      4.69 

—  0.96 

o.oo 

41.86 

27 

50  45-21 

-    I      9-03 

+  5-23 

0.00 

4I-4I 

28 

54  22.43 

—  4  44-00 

+  2.86 

o.oo 

41.29 

37 

47  20.56 

+    2    17.17 

+  5-77 

+  0.19 

43-88 

38 

48  10.77 

+   2    26.IO 

4-  6.  02 

+  0.19 

43.28 

Mean  latitude  of  Colorado  Springs,  Colorado  .     .  38°  49'  4i".67  ±  o".O35 

78 

The  observations  for  latitude  were  made  under  very  unfavorable  circumstances. 
Undulations  in  the  atmosphere,  heavy  winds,  and  great  changes  in  temperature  con- 
stantly affected  the  instrument. 

It  is  customary  in  this  office  to  select  for  latitude  only  thirty-five  pairs  of  stars, 
which  have  to  be  observed  on  five  different  nights.  But  the  observer  is  dependent 
upon  the  weather,  and  is  frequently  disappointed,  although  after  waiting  I  preferred  to 
select  a  greater  number  of  pairs,  believing  that  the  final  result  of  a  latitude  is  better 
when  depending  upon  various  star-places,  giving  the  probability  that  the  errors  result- 
ing from  the  declination-places  of  the  stars  will  more  nearly  compensate  each  other, 
and  that  this  part  of  the  probable  error  of  the  final  result  will  come  within  that  result- 
ing from  observation  alone. 

The  mean  latitude  is  obtained  by  taking  the  mean  of  all  single  results.  For  the 
different  days  the  mean  latitude  is  found  to  be  as  follows: 

O  I  II 

July    31  .  38    49    42.491 

August  2 4T-O43 

4  41.702 

5  41-652 

6 41.864 

7 41-585 

9  -      -  41-947 

showing  a  great  difference  between  the  first  and  second  day,  arising  from  the  disturbed 
condition  of  the  air. 

The  probable  error  of  one  observation  is, 


,  —  ±0.6745 

'•"^  ,    n_  1 


where  v  is  the  difference  between  the  mean  results  and  the  single  results  and  n  the 
number  of  observations;  therefore  the  probable  error  of  the  mean  result  is, 


£,  =  ±0.6745 


/    S(v? 
\/  »(n-i) 


If  it  is  proper  to  place  all  the  observations  in  the  final  result  with  the  same  weight 
(as  in  determining  the  longitude  of  a  station  from  different  nights'  work)  the  formula 
should  be  used  in  this  way;  but  in  determining  the  latitude  of  a  station,  every  single 
result  obtained  also  depends  upon  the  places  of  the  stars  forming  the  different  pairs. 
It  is  certainly  wrong  to  determine  the  probable  error  of  the  latitude-result  by  this  for- 
mula, (it  would  give,  for  latitude  of  Colorado  Springs,  a  probable  error  less  than  o".oi,) 


79 

though  it  is  frequently  done.  If  nearly  the  same  number  of  stars  are  observed  every 
night  under  the  same  conditions,  I  should  prefer  to  determine  the  probable  error  of 
the  final  result  after  the  manner  of  Mr.  John  H.  Clark. 

Let- 
Probable  error  of  one  pair  of  stars,  including  constant  errors 

of  zenith-telescope  observations =  £f 

Probable  error  of  one  observation rr  e0 

Number  of  pairs  used  at  the  station —  m 

Number  of  observations       . — » 

then  probable  error  of  the  final  result, 


The  formula  shows  that  if  the  stars  used  are  not  very  good,  it  is  then  better  to 
select  a  larger  number  of  pairs  of  stars,  giving  the  probability  that  the  final  result  will 
be  more  independent  of  the  declinations. 

From  all  the  observations  of  pairs  of  stars  observed  on  three  or  more  nights,  I 
find  the  probable  error  of  one  observation  — 


and  that  of  the  final  result, 


Taking  the  value  for  ef,  found  by  Maj.  C.  B.  Comstock,  of  the  United  States  Lake 
Survey,  for  stars  taken  from  Professor  Safford's  Catalogue  for  98!  Stars,  ±o".53, 
the  probable  uncertainty  of  the  final  result  will  be,  rbo".o82. 

Resulting  Astronomical  Co-ordinates  for  the  Astronomical  Monument  at  Colorado  Springs, 
Colorado  Territory,  using,  for  the  longitude  of  Washington  and  Salt  Lake,  the  same  data 
as  in  Clark's  report. 

In  time.  In  arc. 

h.     m.          s.  ° 

Longitude    .      .      .      i    51     4.888  27  46   1  3.30  west  of  Washington. 

6  59   17.008  104  49   15.10  west  of  Greenwich. 

Latitude  (north)      .....  38  49  41.67  ±o".o35 

Respectfully  submitted. 

DR.  F.  KAMPF, 
Civilian  Astronomical  Assistant. 
First  Lieut.  GrEO.  M.  WHEELER, 

Corps  of  Engineers,  in  charge. 


UNITED  STATES  ENGINEER  OFFICE, 
GEOGRAPHICAL  AND  GEOLOGICAL  EXPLORATIONS  AND  SURVEYS 

WEST  OF  THE  IOOTH  MERIDIAN,  May  i,  1873. 

Memorandum  of  i»structions  for  conducting  observations  for  longitude  and  latitude  at  a  main  or  primary  astronomical  station 

for  the  field-season  of  1873. 

The  fixed  observatory,  with  which  connection  will  be  made,  is  in  Temple  Square, 
Salt  Lake  City,  Utah,  and  in  charge  of  Assistant  John  H.  Clark.  Every  observer  is 
responsible  for  the  receiving  of  the  signals  from  the  connecting-stations  for  certain  re- 
ductions of  results,  as  full  as  possible,  and  will  follow  such  other  instructions  that  may, 
from  time  to  time,  be  given.  This  station  will  be  changed  during  the  season,  probably 
in  the  month  of  August,  to  the  United  States  engineer  observatory,  to  be  constructed 
at  Ogden,  Utah. 

i. — Observations  for  Longitude. 

In  carrying  on  the  astronomical  campaign,  preference  will  be  given  to  the  longi- 
tude-results for  those  nights  that  are  clear  at  both  stations;  that  is,  the  observers  in 
charge,  after  having  completed  the  necessary  arrangements  for  the  observations  and 
exchange  of  signals,  will,  from  this  time  on,  exchange  signals  each  night  that  shall  be 
fair  at  the  two  stations,  unless  unavoidable  difficulties  arise  to  prevent. 

It  will  be  carefully  observed  that  weather-signals  are  sent  by  telegraph  each 
evening  about  6  p.  m.  while  the  exchanges  are  going  on  and  until  the  full  series  at 
a  station  shall  have  been  completed.  In  case  of  uncertainty  as  to  the  possibility  for 
observing  for  anyone  night,  this  ma}'  be  indicated  in  the  first  dispatch;  and  subsequent 
dispatch  or  dispatches,  between  this  time  and  10  p.  m.,  shall  determine  whether 
exchanges  shall  be  made  that  night  or  not. 

Some  convenient  and  concise  form  will  be  adopted  for  the  weather-signals,  and 
in  no  case  must  there  be  a  failure  as  regards  forwarding  them. 

It  may  be  admissible,  contingent  upon  the  stage  of  the  prosecution  of  the  work, 
should  the  weather  at  Salt  Lake  at  about  6  p.  m.  look  unfavorable,  that  the  observer 
at  the  distant  station  should  at  once  conclude  to  take  that  night  for  latitude-work, 
which  may  be  done  after  informing  the  observer  at  the  Salt  Lake  or  the  receiving 
station. 

For  the  conducting  of  the  observations  for  the  exchanges  for  a  single  night,  the 
following  instructions  will  be  adhered  to:  The  transit  of  stars  for  time-determinations, 
consisting  of  not  less  than  three  time  and  two  circumpolar  stars  in  each  position 
of  the  instrument,  both  before  and  after  the  transmission  of  the  signals,  will  be  taken. 
Of  course,  should  the  night  be  sufficiently  clear,  so  that  it  seems  possible  to  make  the 
time-determinations  at  both  stations,  by  the  modification  of  the  above,  so  that  at 
one  or  both  of  the  stations  the  transits  of  stars  may  be  made  entirely  before  or 
entirely  after  the  sending  of  the  signals,  the  strict  following-out  of  the  above  is  not 
necessary. 

These  instructions  are  made  with  the  understanding  that  a  twenty-six  or  thirty- 


81 

two  inch  Wiirdemann  instrument  is  used,  with  recording-apparatus  in  shape  of  a 
chronograph  or  register. 

The  time  set  for  the  transmission  of  signals  should  be  as  near  9.30  p.  m.  local 
time  of  the  Salt  Lake  meridian  as  possible;  and  great  care  should  be  taken  that  both 
observers  shall  be  on  hand  simultaneously,  so  that  as  little  delay  as  possible  shall  ensue 
in  the  use  of  the  telegraph-wires. 

In  the  transmission  of  signals  the  record  is  to  be  made  upon  the  chronograph  or 
register  at  the  two  places  over  a  space  of  five  minutes  in  time,  the  connecting  or  Salt 
Lake  station  sending  for  the  first  five  minutes  arid  the  distant  station  receiving,  and 
rice  rcrxa. 

In  addition  to  these,  which  may  be  known  as  the  chronograph-signals,  arbitrary 
signals  will  be  sent,  by  the  use  of  a. break-circuit  key,  at  about  ten  seconds  apart,  at 
fractional  parts  of  a  second,  making  a  series  of  thirty-one  arbitrary  signals  during 
the  five  minutes. 

In  order  that  the  observer  at  a  station  may  conclude  that  he  has  accomplished 
six  nigl its  of  first-class  observations,  it  becomes  necessary  that  there  should  be  an 
exchange  of  the  approximate  results.  Each  observer  will  therefore  send  to  the  other, 
upon  each  subsequent  night  or  as  soon  thereafter  as  practicable,  the  approximate  error 
of  his  chronometer  and  the  mean  of  seven  arbitrary  signals,  sent  and  received,  selected 
from  the  middle  of  the  set  of  thirty-one.  This  may  be  concisely  expressed  in  a 
telegram. 

For  the  full  satisfaction  of  an  observer  at  the  distant  station,  such  further  compu- 
tation shall  be  sent  and  received  as  shall  seem  necessary  to  a  clear  understanding  of 
the  case;  as  an  observer  will  be  held  responsible  should  he  leave  the  station  and  go  to 
another  before  he  is  certain  that  the  results  upon  final  computation  would  prove 
satisfactory. 

2. — Observations  for  Latitude. 

These  will  be  conducted  through  five  complete  and  clear  nights,  so  that  there  shall 
not  be  less  than  175  pairs  of  observations  upon  35  separate  and  distinct  pairs  of  stars, 
each  pair  of  which  observations  shall  give  a  first-class  result. 

These  instructions  are  furnished  to  the  observers  with  a  view  to  their  clearly 
understanding  the  class  of  results  intended,  and  will  always  be  carried  out,  unless 
unforeseen  difficulties  arise,  in  which  event,  as  the  observers  will  not  hereafter  be 
within  speedy  communication  of  these  headquarters,  it  will  be  necessary  for  them  to 
adopt  immaterial  modifications  upon  their  own  responsibility.  It  is,  of  course,  under- 
stood that  each  observer  is  responsible  for  and  receives  the  credit  of  his  own  work. 

A  report  will  be  made  by  each  observer,  at  intervals  not  exceeding  fifteen  days, 
of  the  work  under  his  charge. 

A  full  daily  journal  will  be  kept  by  each  observer.  Great  care  will  be  taken  as 
to  the  character  of  the  record  upon  this  journal,  which  should  be  clear  and  explicit. 
The  position  of  the  station  in  reference  to  surrounding  natural  objects  should  be 
clearly  described,  and  imperishable  meridian-marks  firmly  planted.  When  possible,  a 
special  survey  and  plat  will  be  made. 
11 


82 

* 

The  day  following-  an  exchange  of  the  chronographic  record  of  time  and  exchange- 
signals,  said  signals  will  be  carefully  copied  into  a  record-book,  which,  like  all  other 
records,  must  be  made  in  duplicate. 

It  is  intended  that  computations  in  the  field  shall  be  carried  on  to  such  an  extent 
as  circumstances  may  permit. 

The  time  that  can  be  allotted  to  each  of  these  stations,  in  order  to  accomplish  the 
expected  results  for  the  season,  is  from  twenty  to  twenty-five  nights;  and  as  observa- 
tions are  required  only  for  eleven  nights,  the  remaining-  interval  should  be  employed 
in  computation. 

The  order  of  sequence  for  an  astronomical  report  is  furnished  herewith,  and  the 
records  and  journal  will  be  so  kept  as  to  comprise  all  the  data  necessary  for  the  full 
expression  of  results  in  accordance  therewith. 

Official : 

GEO.  M.  WHEELER, 

First  Lieutenant  Corps  of  Ei/f/htrrr*,  hi 


U.S.  Engireer  dept. 
Report. 


.'...I.' 
U5A5 


